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Gavin Walton
- August 17, 2024
study.com Math 108: Discrete Mathematics Exam
Welcome to the world of ” study.com Math 108 : Discrete Mathematics”! This course is for those who have ever had a curiosity about how mathematicians approach problems or how problems in mathematics/logic are formulated and solved. Discrete Mathematics can be defined as a subject that focuses on difference and Division, therefore it majors on discrete values such as integer values, diagrammatic click-on values, and logical statements. In this course, you will find out how proofs work, topics concerning sets and functions, probability, graph theory, matrices, and Boolean algebra. In fact, it is like getting to know the password that runs the basic acts of human life as well as the higher computer applications. This course could be viewed as a tool chest for logical and mathematical thinking. If you are looking forward to having a firm grounding in computer science, and data analysis or just want better problem-solving skills, study.com Math 108: Discrete Mathematics is here to make all these concepts easier and fun. Take your seat and be prepared to enter a world that is far from simple counting and arithmetic, which is primarily about figures, connections, and reason. So, my friend, let us proceed with the discovery of this course as well as of discrete mathematics as a subject and I’ll ensure that it’s not only comprehensible but also fun! — The study.com Math 108 Experience📖 Starting on “study.com Math 108: Discrete Mathematics” means entering a new world while the chapters are the discoveries of a new world in mathematics. Here’s a sneak peek into what you’ll be exploring and mastering: Logic and Proofs: This is the summed-up essence where everything starts. The understanding of this topic is important because logic is the foundation of all mathematics. Here, you will get information about how to build and break arguments, signs of logical fallacies, and a truth table. You would always expect to find questions on the logical operators, truth values, and if-then statements on the exams. Sets and Functions: Sets are the basic tools in the kit for working with discrete mathematics. Here you will look at the server concepts like unions, intersections, subsets, as well as cardinality. As for specific topics, the role of sets will be explained in detail, with functions, these objects that map elements belonging to one set to another, receiving particular attention. Basic concepts are tested in this section often so if you get a good grasp of things here then you will reap big later. Counting Rules, Combinations, and Permutations: Have you ever thought about what is the number of permutations of elements’ sets? This section has it all, the answers are found here. It is for this reason that you will study elements such as counting principle, permutation, and combinations basics to define probability and stats. The next wonderful concept that is called ‘the pigeonhole principle’ will explain to you that it is impossible to put 11 pigeons into 10 pigeonholes without one or more of them having to share a hole. To achieve success in the course you will be exposed to numerous subjects like graphing theory, recursion, matrices, Boolean algebra, and so on. All of these topics are not only tightly connected with discrete math, but are also widely used in computer science, cryptography, and, of course, networks. One piece of advice is to focus more on the topics such as graph theory and Boolean algebra as these notions are important in the course and are frequently used in the final proctored exam. At the completion of this course, discrete mathematics will be well understood by you and you will be in a position to solve the most complicated problems. Please remember that when it comes to these topics, steady learning and application are definitely a rule to follow. Let’s dissect it on a weekly basis on how you can excel in this course moving forward. Click here for exam support A Week-by-Week Approach to Math 108 Exam Prep 📝 As you move through this course titled study.com Math 108: Discrete Mathematics it shall be relevant to have a week-by-week guide that will enable you to guide through this course so as to prepare optimally for the proctored exam at the end of the course. This way each week introduces a group of topics, which will be comprehensively covered by the time students finish the course. Week 1: Introduction to Logic and Proofs Day 1-2: Watch the lessons on critical thinking and logic in mathematics. Practice identifying logical fallacies. Day 3-4: Study truth tables, propositions, and conditional statements. Take the quiz to test your understanding. Day 5-7: Dive into direct proofs and tautologies. Make sure to complete any practice problems and quizzes. External Resources: Khan Academy: Logic and Proofs YouTube: Critical Thinking and Logical Fallacies Week 2: Sets and Functions Day 1-2: Learn about mathematical sets, elements, intersections, and unions. Practice problems using sets. Day 3-4: Study universal sets, complements, and cardinality. Test yourself with quizzes. Day 5-7: Understand functions, injections, surjections, and bijections. Watch related videos for additional examples. External Resources: YouTube: Sets and Functions Quizlet: Set Theory Flashcards Week 3: Sequences, Sums, and Induction Day 1-2: Watch lessons on arithmetic and geometric sequences. Practice identifying and classifying sequences. Day 3-4: Learn about sigma notation and calculating series. Take quizzes to reinforce your knowledge. Day 5-7: Study mathematical induction and practice proof techniques. Complete the chapter test. External Resources: Khan Academy: Sequences and Series YouTube: Mathematical Induction Week 4: Counting Rules, Combinations, and Permutations Day 1-2: Explore the fundamental counting principle and permutations. Solve practice problems. Day 3-4: Study combinations and the pigeonhole principle. Test yourself with quizzes. Day 5-7: Review and practice the probability of permutations and combinations. Complete the chapter test. External Resources: YouTube: Permutations and Combinations Quizlet: Counting Principles Flashcards Week 5: Discrete Probability Day 1-2: Learn about random variables and expected values. Watch related videos for a deeper understanding. Day 3-4: Study discrete probability distributions and empirical probability. Take the quiz to
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- August 17, 2024
study.com Math 105 : Precalculus Algebra Exam
Welcome to the one and only guide for passing your study.com Math 105: Precalculus Algebra exam! So if you are preparing for this course, you will be set for a mathematical ride where the outcome would prepare you on how to approach different higher mathematics courses plus real-life problems. This course is intended to study mathematical modeling deeply, derivatives, and solutions of different equations and inequalities with symbols and graphs. From the purely mathematical lover to the student merely enduring, there’s something interesting in this class. Think of study.com Math 105: Precalculus Algebra as your tool kit for how you want to read and perceive mathematics. You will be able to write and solve equations that describe the situations you meet in everyday life, compare the values of functions, and even take a glimpse at the derivatives. It concerns going beyond simple analytics and learning a systematic way to think that will be valuable in every future assignment. Therefore, sit tight, put on your seat belt, and let me help you to defeat the precalculus algebra and the world with it! — A Sneak Peek into Math 105📖 Embarking on study.com Math 105: Precalculus Algebra tells you that you are going to study a range of mathematical ideas that will help pave the way for other math classes. This class comprises numerous subjects each of which is central to achieving mastery in precalculus algebra. Starting with Mathematical Modeling, here are some of the courses you are going to learn. This entails the use of symbols on a pattern, which best represents an occurrence in the real world. The topics include how to write and assess expressions associated with geometric figures, learn about linear models, also use systems of linear equations to get the breakeven points and market equilibrium. These are not just theoretical ideas; they are the strategies that are used in different decision-making processes in different areas including commerce and engineering. Then, Linear Equations & Inequalities present the next topic in the course. By the end of the combined course, you will be able to recognize and plot linear equations, comprehend the concepts of slope and intercepts, as well as solve systems of equations. This segment is elementary because linear equations are encountered throughout mathematics, as well as in other spheres of human life and education. Further on, Quadratic Functions and Rational Expressions & Functions are included in what is to be covered. These sections are important for the proctored final exam, specifically the Speaking Section. Quadratic equations will be factored in, the process of completing the square will be viewed, and solving quadratic inequalities will also be developed. For rational functions, you will learn operations on rational expressions, their graphs, and asymptotes. The content of the book is divided into chapters and each chapter progresses from the previous one, hence a clear understanding of precalculus algebra. It is pertinent to spend time doing problems since this is an excellent way of revising and grasping the concepts in the book. self-paced will enable you to take more time on sections that you need to practice as you prepare for the final exam of the course. Click here for exam support How to Study Weekly for Math 105📝 Are you ready to ace your study.com Math 105: Precalculus Algebra? Below is a suggested plan of study for a week to ensure that you do not lag behind and are well-prepared for the final exam. The reader of this guide will be guided towards successful abstractions that lay a strong base and use regular exercises for creating different concepts Week 1: Introduction & Mathematical Modeling Lessons to Cover: Introduction to algebraic expressions and linear models. Activities: Watch video lessons and take notes. Complete quizzes for each lesson. Practice writing and solving algebraic expressions. External Resource: Khan Academy – Algebra Basics Week 2: Linear Equations & Inequalities Lessons to Cover: Linear equations, slope-intercept form, and graphing inequalities. Activities: Watch video lessons and take notes. Complete quizzes for each lesson. Solve practice problems on graphing linear equations. External Resource: PatrickJMT – Linear Equations Week 3: Quadratic Functions Lessons to Cover: Factoring quadratics, quadratic formula, and graphing parabolas. Activities: Watch video lessons and take notes. Complete quizzes for each lesson. Practice solving quadratic equations using different methods. External Resource: Professor Leonard – Quadratics Week 4: Rational Expressions & Functions Lessons to Cover: Multiplying, dividing, adding, and subtracting rational expressions. Activities: Watch video lessons and take notes. Complete quizzes for each lesson. Practice simplifying rational expressions and solving rational equations. External Resource: Mathispower4u – Rational Expressions Week 5: Polynomial Functions Lessons to Cover: Adding, subtracting, and multiplying polynomials; polynomial long division. Activities: Watch video lessons and take notes. Complete quizzes for each lesson. Practice polynomial operations and solve practice problems. External Resource: Khan Academy – Polynomial Operations Week 6: Geometry Basics Lessons to Cover: Area and circumference of a circle, distance formula, and midpoint formula. Activities: Watch video lessons and take notes. Complete quizzes for each lesson. Solve problems involving geometric figures and formulas. External Resource: Math Antics – Geometry Week 7: Functions Overview Lessons to Cover: Domain and range, power and radical functions, points of discontinuity. Activities: Watch video lessons and take notes. Complete quizzes for each lesson. Practice identifying domain and range and graphing functions. External Resource: PatrickJMT – Functions Week 8: Function Operations Lessons to Cover: Adding, subtracting, multiplying, and dividing functions; inverse functions. Activities: Watch video lessons and take notes. Complete quizzes for each lesson. Practice performing operations on functions and finding inverses. External Resource: Khan Academy – Function Operations Week 9: Graph Symmetry Lessons to Cover: Symmetry in graphs, even and odd functions. Activities: Watch video lessons and take notes. Complete quizzes for each lesson. Practice identifying symmetry and classifying functions as even or odd. External Resource: Mathispower4u – Graph Symmetry Week 10: Exponential and Logarithmic Functions Lessons to Cover: Exponential growth and decay, properties of logarithms, graphing logarithmic functions. Activities: Watch video lessons and take notes. Complete quizzes
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- August 17, 2024
study.com Math 103: Precalculus Final Proctored Exam
You are preparing to plunge into study.com’s Math 103: Precalculus course, aren’t you? Good choice! This class is a great starting point because it leaves you with all the setup you need for the higher-level mathematics courses that you may need to undertake. If your wishes extend to engineering or technology or you just need to master the next math homework this course will suit you. Here you will explore all about functions, trigonometric functions, and all the basic concepts that you will come across. The best part? It is also packed with juicy bits of curiosity to motivate you through the lessons even if you lack the math skills. What the author has again brought out in this book are clear explanations on the topic discussed, loaded with practical examples and sufficient problem-solving exercises that make it possible for you to master concepts that you never imagined you could. At the end of the course not only you can pass the final proctored exam, but also you will be prepared for future mathematical activities. Ready to get started? Let’s do this! — What’s in Store for You in Math 103📖 Okay, the following are the areas that you will be covering in the study.com Math 103: Precalculus course. The final proctored exam is on its way and this channel will prepare you for a mathematical ride that will guarantee you mastery of everything required! Functions and Transformations The first topic revolves around functions in the world. This is where you’ll get to know common, piece-wise, rational, exponential, logarithmic, reciprocal functions, and so on, including how to operate on them and how to plot them on coordinate axes. You will learn about function notation and also about how to change, stretch, and even flip graphs such as shift, reflection, and dilation. I assure you that these basics are important because, throughout precalculus, functions are the cornerstone. Exponential and Logarithmic Functions The subsequent section will focus on exponential and logarithmic functions. All those concepts are absolutely fundamental and they are everywhere, they appear at the very core of such various subjects as natural science or finance. Here you also discover how these functions are shown on the coordinate plane, and how to solve equations that involve logarithms and basic logarithmic properties. This is something that will actually have a lot of questions dedicated to it in the exam, so do not miss this out! Trigonometry and Geometry So trigonometry may sound somewhat complex but trust me, it is very beneficial and is not as terrible as it appears. You will comprehensively make an understanding of the unit circle along with sine, cosine, and tangent ratios. Furthermore, this will demonstrate how the understood trigonometric concepts are used in practice. Geometry is also not left behind and plays a role in depicting shapes and volumes when solving problems. Polynomial and Rational Functions The next topics to be discussed are polynomials and rational functions. It is necessary to specify that you will find how to perform addition, subtraction, multiplication, and division of these functions as well as learn how to plot a function. Adding, subtracting, and multiplying quadratic terms will become part of your fingertips while factoring and solving quadratic equations will become easier for you. These topics are quite basic, so you should solve a lot of problems concerning them. Every time in the course, you will find a lot of exercises and quizzes that are similar to what you may meet on the final exam. The only thing that should be kept in mind is that one should remain consistent with the studies and should take each topic as a step forward. Are you set for the strategies you need for studying this course? On to the next shall we? Click here for exam support Strategic Study Plan for Math 103📝 Below are the guidelines you can use to organize your schedule and get the most of your time to study: If you stick to this schedule, you will be fully prepared for the coming Study.com Math 103: Precalculus final proctored exam at the end of the study plan; Math 104 Basic Mathematics homework. Week 1: Functions and Transformations Topics to Cover: Functions, function notation, vertical line test, transformations (shifts, reflections, dilations). Study Tips: Focus on understanding how to identify and graph different functions. Practice transformations by shifting and reflecting simple functions. Resources: Khan Academy – Introduction to Functions PatrickJMT – Function Transformations Week 2: Domain and Range, Function Operations Topics to Cover: Domain and range, adding, subtracting, multiplying, and dividing functions, composing functions. Study Tips: Work through examples to understand how to find the domain and range from graphs and equations. Practice combining functions and composing them. Resources: Paul’s Online Math Notes – Domain and Range Purplemath – Function Operations Week 3: Exponential and Logarithmic Functions Topics to Cover: Exponential functions, exponential growth and decay, logarithms, properties of logarithms, solving exponential and logarithmic equations. Study Tips: Get comfortable with converting between exponential and logarithmic forms. Practice solving equations using logarithms. Resources: Khan Academy – Exponential Functions Professor Dave Explains – Logarithms Week 4: Inequalities and Systems of Equations Topics to Cover: Graphing inequalities, solving systems of equations, absolute value inequalities. Study Tips: Practice graphing one-variable and two-variable inequalities. Work on solving systems of equations using substitution and elimination methods. Resources: Khan Academy – Inequalities PatrickJMT – Systems of Equations Week 5: Polynomial and Rational Functions Topics to Cover: Polynomial functions, factoring quadratics, graphing rational functions, solving rational equations. Study Tips: Focus on mastering the factoring techniques for different types of polynomials. Practice graphing and solving rational functions. Resources: Purplemath – Factoring Polynomials Khan Academy – Rational Functions Week 6: Trigonometry and the Unit Circle Topics to Cover: Unit circle, sine, cosine, and tangent functions, graphing trig functions, and trigonometric identities. Study Tips: Memorize the unit circle and the values of sine, cosine, and tangent at key angles. Practice using trigonometric identities to simplify expressions. Resources: Khan Academy – Unit Circle
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- August 16, 2024
Study.com Math 104: Calculus Final Exam
This is the beginning of the new level of your mathematical journey: the calculus level where things are a bit more interesting and much more complicated. In study.com Math 104: Calculus, you are going through a course that gives an understanding of calculus that is both thorough and not overwhelmingly complicated. This course makes it possible for students to learn all the basics of calculus without straining themselves too much. This class will help you prepare for an exam or simply see concepts clarified in calculus in a step-by-step fashion. Calculus may sound scary with the use of words like Integral, Derivative, and Differential Equations but we will look at it in a more simpler way. It’s best to think of calculus as the skills that tell you what’s going on with changes and motion. You will usually understand how calculus helps solve problems in and out, from enlisting the area under curves to solving deep equations. And the best part? you simply do not need to be a mathematics wizard to perform well. Yes, as long as you pay some attention and follow the right tutor, you shall be roaming through calculus like a pro. — Study.com Math 104: A Preview📖 Well done, you have signed up for study.com Math 104: Calculus, and I bet you are curious to know, “What awaits me?” So let’s get straight to what you should expect in this course and why it will be your key to success! Core Concepts Covered In this course, the students shall be exposed to the core ideas of calculus with subjects such as integration and differentiation. I will also be able to find simple integration of shapes and polynomials which helps to find the areas and volumes. You will see a lot of attention paid to antiderivatives, it is the opposite of differentiation and the tool used to find original functions. Thus, it is necessary to familiarize yourself with these concepts since they will be the subject of numerous quizzes. Application in Real-World Problems However, what students learn in calculus is not limited to solving hard problems and brain teasers. This is followed by others, which you will apply to dynamic motion and realistic situations. For example, with integration, the changes in the position and velocity will be realized. The conventional course also includes solving systems of linear equations and applying such tools as substitution and integration by parts to more complicated problems. These applications demonstrate how calculus can be applied to solving problems that exist in one’s day-to-day life such as the estimation of the volume of solid figures or rate of increase in population. Exam Preparation As you progress, you’ll encounter a mix of theoretical concepts and practical applications. Key topics such as the Fundamental Theorem of Calculus, integration by substitution, and differential equations are pivotal. These will be central to your exam, so make sure to grasp these areas thoroughly. Additionally, problems involving related rates and improper integrals are often included, so be prepared to solve these types of questions. Overall, focus on understanding the principles and practicing various problems to build your confidence. By breaking down these concepts and focusing on their applications, Study.com Math 104 will help you not only pass your exam but also appreciate the elegance and utility of calculus in various fields. Stay engaged, practice regularly, and you’ll find yourself well-prepared for the challenges ahead! Click here for exam support Math 104: Your Weekly Study Roadmap📝 Okay, let’s launch directly to the study plan that will guarantee you not only readiness but overall readiness for your study.com Math 104: Calculus test. Here’s a week-by-week breakdown to guide you through your preparation: Week 1: Foundation Building Focus: Get comfortable with basic calculus concepts like limits, derivatives, and integrals. Tasks: Review the definitions and properties of limits and derivatives. Practice solving basic derivative problems and integration of simple functions. External Resources: Khan Academy’s Limits and Derivatives Playlist for quick and clear explanations. Paul’s Online Math Notes – Calculus I for detailed notes and practice problems. Week 2: Deep Dive into Integration Techniques Focus: Master various integration techniques including substitution and integration by parts. Tasks: Work through problems involving u-substitution and integration by parts. Solve definite and indefinite integrals. External Resources: Integral Calculus Introduction for an overview of integration techniques. Wolfram Alpha’s Integration Practice for additional practice problems. Week 3: Applications of Calculus Focus: Apply calculus concepts to real-world problems like finding areas, and volumes, and solving differential equations. Tasks: Practice problems on finding the area between curves and volumes of revolution. Study-related rates and how to solve differential equations using the separation of variables. External Resources: PatrickJMT’s Video on Area Between Curves for a step-by-step guide. 3Blue1Brown’s Visual Explanation of Differential Equations for intuitive understanding. Week 4: Advanced Topics and Practice Tests Focus: Review advanced topics and take practice tests to simulate exam conditions. Tasks: Revisit any challenging topics and ensure you understand them. Complete at least two full-length practice exams under timed conditions. External Resources: MIT OpenCourseWare Practice Exams for comprehensive practice. Study.com’s Practice Quiz Section for exam-style questions and explanations. Week 5: Final Review and Preparation Focus: Solidify your knowledge and review any remaining weak areas. Tasks: Go over your practice test results and focus on areas where you made mistakes. Review key formulas and theorems. External Resources: Paul’s Online Math Notes – Review Sheets for a quick review of important concepts. Khan Academy’s Practice Exercises for final review. Just adhere to this plan and then ensure you are organized to practice sufficiently often. Following this outlined plan, you are well on your way to preparing for your Calculus: Math 104 exam effectively. Good luck! — Free Educational Resources for Math 104📂 While Study.com offers excellent content, there are plenty of free resources out there that can supplement your study and provide a broader understanding of calculus concepts. Here’s a curated list of valuable external resources to enhance your learning: YouTube Channels and Playlists Khan Academy: Offers comprehensive
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- August 16, 2024
How to Pass study.com Math 101: College Algebra
Are you eager to dominate the algebra world? look no further than study.com Math 101 : College Algebra course for this mathematical journey. As is already mentioned, this course is aimed at providing the necessary practice in working with linear equations, quadratic equations, logarithms, etc. This is the best place for you if you are in a bid to prepare for college mathematics credit or simply want to enhance your mathematical problem-solving skills but don’t know where to commence. What sets this course apart from so many other courses is the fact that it is fully online and accessible at any time. Because lessons in the videos are brief and lively, lecturing and learning can be as fast or slow as one wants it to be. Moreover, it has a precise organization meant to ensure you are ready for the proctored final exam: it focuses on teaching fundamental algebra and checking whether you are ready to take the proctored final exam. Thus, by the end of this course, the goal is not only to inform you about algebra better and extend the possibilities of its application in day-to-day life but also to make you more confident in this kind of practice. Well, then let the learning begin, and let algebra be your new buddy! — Study.com Math 101: Course Breakdown📖 It is time for us to go into the details of what is actually offered in this course study.com Math 101: College Algebra class. It covers 12 chapters which deal with the basic algebraic concepts in each chapter. Here’s a sneak peek into what you’ll be learning: Foundations of Linear Equations: In this chapter, the groundwork is laid down with preliminaries including; number classification, elements of a graph, and linear expressions. The course will be on linear equations with topics such as solving linear equations, graphing linear, and understanding different forms of equations. The section on a linear equation should be studied carefully because linear equations are some of the fundamental topics that are covered in algebra and are sure to feature in the test. Matrices and Absolute Value: Matrices and Absolute Value: Here you will begin studying matrices and absolute values. One has to understand the process of finding the determinant of a matrix and solve the problems involving the use of absolute values. Perhaps, these concepts may appear a bit abstract, or … They are rather the foundation of subsequent levels of learning. Factoring with FOIL, Graphing Parabolas, and Solving Quadratics: This chapter ranges from parabolas right through to quadratic equations. You will be able to know the kinds of parabolas available in the world, facts that must be noted concerning the FOIL method of factoring, and facts we need to understand concerning quadratic equations. Another key concept that you are likely to be tested on in the final is quadratics. Complex Numbers, Exponents, and Polynomials: In these chapters, the use of imaginary numbers, rules dealing with exponents, as well as operations on polynomials will be explained. These concepts are important as they shall be used in more complex issues of algebra, so ensure that you master them well. Functions and Rational Expressions: You will get to know how different functions can be transformed or operated upon. Functions and their operations will also be crucial since rational expressions and equations will be frequently used in many algebraic issues. Radical Expressions, Exponentials, and Logarithms: These chapters deal with radical functions, exponential, exponential decay, and logarithmic properties. These topics are essential for solving other forms of equations with higher degrees and might be featured in the exam. Probability Mechanics and Sequences & Series: Last, you’ll look at factorials, binomial theorem, and summation notation. You might wonder what these concepts are all about. Well, these are all about patterns and certain calculations, which are not as hard as they are described to be. This means that you should prepare to be introduced to video lessons, quizzes as well as practice questions within the course. Each hour follows and expands the previous one, so it is necessary to complete the lessons and practice frequently. It is recommended that by this stage, you would’ve had adequate practice in preparation for the proctored end-of-course exam that is set to make sure that you’ve grasped all these concepts. Click here for exam support Week-by-Week Guide to Ace Math 101📝 Here is the detailed week-by-week study plan to prepare for the final exam and understand all the essential mechanics behind it. If you adhere to this plan, then you are assured a shot at your algebra dream! Week 1: Foundations of Linear Equations Focus: Types of Numbers, Parts of a Graph, Linear Equations Day 1-2: Watch the video lessons on types of numbers and parts of a graph. Take detailed notes and try to visualize each concept. Day 3-4: Dive into linear equations. Understand how to solve and graph them. Day 5: Practice the quizzes for these lessons. Weekend: Review your notes and redo the quizzes to solidify your understanding. External Resource: Khan Academy – Linear Equations Week 2: Matrices and Absolute Value Focus: Matrix Properties, Determinants, Absolute Value Day 1-2: Learn about matrices and how to find their determinants. Day 3-4: Study absolute value expressions and equations. Day 5: Complete practice problems and quizzes. Weekend: Summarize what you’ve learned and try additional practice problems. External Resource: PatrickJMT – Finding Determinants Week 3: Inequalities and Quadratics Focus: Graphing Inequalities, Factoring Quadratics Day 1-2: Understand how to solve and graph inequalities. Day 3-4: Dive into factoring quadratics using FOIL and other methods. Day 5: Take quizzes and practice problems. Weekend: Review all materials and ensure you understand key concepts. External Resource: Khan Academy – Factoring Quadratics Week 4: Complex Numbers and Exponents Focus: Imaginary Numbers, Exponent Rules Day 1-2: Study complex numbers and their operations. Day 3-4: Review exponent properties and practice simplifying expressions. Day 5: Complete quizzes and practice problems. Weekend: Recap the week’s lessons and revisit any difficult concepts. External Resource: MathIsPower4U – Complex
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