Category: Math

  • More Practice – Linear Algebra

    Here are some practice questions for this course. Test: Gauss and Gauss-Jordan Elimination, Linear Dependence, Row Echelon Form, Null Space, Rank, Nonsingularity, Subspace and more

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  • More Practice – Grade 10 Math

    Here are some practice questions (with corrected solutions) for this course. Test: Systems of Linear Equations Test: Analytic Geometry Test: Graphs of Quadratic Relations Test: Factoring Algebraic Expressions Test: Applying Quadratic Models Test: Quadratic Equations Test: Acute Angle Trigonometry

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  • More Practice – Differential Calculus

    Here are some practice questions (with corrected solutions) for this course. Assignment: Identifying Curves, Equation of Tangent, Radians to Degrees, Degrees to Radians, Exact Trigonometric Ratios Assignment: Trigonometry Assignment: Inverse of a Function, Solving Inequalities, Evaluating Functions Assignment: Limits Assignment: Derivatives Assignment: Derivatives, Tangent Lines Assignment: Hyperbolic Functions, Linear Approximations, Absolute Maximum and Minimum Assignment:…

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  • Eliminations = Factorization; A = LU

    Today we will be discussing the following topics: 1. What is LU Factorization? 2. Factoring a Matrix Using the LU Factorization Method 3. Backward and Forward Substitution 4. Solving a System of Equations using A = LU 5. Band Matrices 6. The Cost of Matrix Calculations VIDEO COMING SOON! What is LU Factorization? LU Factorization…

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  • Function Limits, Limit Rules, L’Hopital’s Rule, Squeeze Theorem

    Function Limits, Limit Rules, L’Hopital’s Rule, Squeeze Theorem

    In this lesson, we will be discussing how to use limit rules and find limits of different functions. The functions we will discuss are the following: 1. Reciprocal Functions 2. Exponential Functions 3. Logarithmic Functions 4. Trigonometric Functions 5. Square Root Functions – this will not be discussed because you can use the Plug-In method…

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  • Solving Limits Using Factoring and Conjugates

    Solving Limits Using Factoring and Conjugates

    In this video, we will be discussing methods of manipulating equations to solve limits. The methods of manipulation discussed in this video are: 1. Factoring Factor the function in order to simplify it, then try plugging in x=a again. Here are some common factoring rules in case you forgot! I haven’t made a video on…

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  • Intro to Limits + Solve using Plug-In, Table of Values, Graphs

    Intro to Limits + Solve using Plug-In, Table of Values, Graphs

    Today’s topic will be on limits. A limit is just a y-value that a function approaches as we approach a certain value of x. We will discuss the definition of a limit and three basic methods of solving them. The methods discussed in this video are: 1. Plug-In Method Directly plug x=a in to the…

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