MATH 203

Concordia

Course Overview

Lessons & Practice

I. Welcome

1. Functions

3hr

1.1.1. Factoring 5 min

1.1.2. Factoring a Difference & Sum of Cubes3 min

1.1.3. Example2 min

1.1.4. Practice46 sec

1.1.5. Practice2 min

1.1.6. Practice2 min

1.2.1. Dividing Polynomials - Long Division6 min

1.2.2. Example3 min

1.2.3. Dividing Polynomials - Synthetic Division8 min

1.2.4. Example2 min

1.2.5. Practice2 min

1.2.6. Practice3 min

1.3.1. Radical Functions59 sec

1.3.2. Solving Radical Equations5 min

1.3.3. Example5 min

1.3.4. Practice8 min

1.4.1. Piecewise Functions4 min

1.4.2. Example5 min

1.4.3. Practice3 min

1.5.1. Absolute Value Function1 min

1.5.2. Example3 min

1.6.1. Interval Notation 4 min

1.6.2. Set Notation3 min

1.6.3. Example4 min

1.6.4. Practice2 min

1.6.5. Practice52 sec

1.6.6. Practice44 sec

1.6.7. Cheatsheet

1.7.1. Domain2 min

1.7.2. Range2 min

1.7.3. Example2 min

1.7.4. Practice 40 sec

1.7.5. Practice 3 min

1.8.1. Even and Odd Functions3 min

1.8.2. Example2 min

1.9.1. Basic of Polynomials4 min

1.9.2. Example2 min

1.9.3. Practice3 min

1.9.4. Polynomial Graphs & Characteristics4 min

1.9.5. Example2 min

1.9.6. Practice2 min

1.10.1. Rational Functions4 min

1.10.2. Solving Rational Equations3 min

1.10.3. Example5 min

1.10.4. Example3 min

1.10.5. Practice6 min

1.10.6. Practice2 min

1.11.1. Operations with Functions3 min

1.11.2. Example2 min

1.11.3. Practice2 min

1.11.4. Practice1 min

1.12.1. Transformation of Graphs2 min

1.12.2. Example1 min

1.12.3. Practice2 min

1.13.1. Trigonometric Functions6 min

1.13.2. Example4 min

1.13.3. Trig Identities2 min

1.13.4. Practice3 min

1.13.5. Practice4 min

1.14.1. Exponential Functions3 min

1.14.2. Example1 min

1.14.3. Example2 min

1.15.1. Inverse Functions3 min

1.15.2. Example3 min

1.15.3. Practice2 min

1.16.1. Logarithmic Functions4 min

1.16.2. Example3 min

1.16.3. Example:3 min

1.16.4. Practice2 min

2. Limits and Continuity

2.9hr

2.1.1. Rate of Change6 min

2.1.2. Example: Velocity6 min

2.1.3. Practice: Revenue5 min

2.1.4. Example: Medicine5 min

2.1.5. Practice: Profit5 min

2.1.6. Practice: Volume and Surface Area6 min

2.2.1. The Slope of Tangent Lines13 min

2.2.2. Example: Drawing Tangent Lines8 min

2.2.3. Example: Calculating Slopes of Tangents9 min

2.2.4. Practice: Calculating Slopes of Tangents8 min

2.2.5. Example: Equation of the Tangent Line5 min

2.2.6. Practice: Equation of the Tangent Lines5 min

2.2.7. Example: Slope of Tangent Line *(Tricky)7 min

2.2.8. Practice: Slope of Tangent Line5 min

2.3.1. Limit Basics2 min

2.3.2. Example1 min

2.4.1. Limit Laws 2 min

2.4.2. Practice1 min

2.5.1. Indeterminate Forms50 sec

2.6.1. Computing Limits by Factoring1 min

2.6.2. Example1 min

2.6.3. Practice2 min

2.7.1. Computing Limits by Multiplying by the Conjugate3 min

2.7.2. Example3 min

2.7.3. Practice3 min

2.8.1. Computing Limits by Getting a Common Denominator1 min

2.8.2. Example2 min

2.8.3. Practice4 min

2.9.1. One-Sided Limits2 min

2.9.2. Example: One-Sided Limit2 min

2.9.3. Practice: One-Sided Limits3 min

2.10.1. Infinite Limits2 min

2.10.2. Example1 min

2.10.3. Example3 min

2.11.1. Limits at Infinity3 min

2.11.2. Example60 sec

2.11.3. Example3 min

2.11.4. Example4 min

2.11.5. Practice 3 min

2.11.6. Practice3 min

2.12.1. The Fundamental Trig Limit2 min

2.12.2. Example3 min

2.13.1. The Squeeze Theorem2 min

2.13.2. Example2 min

2.13.3. Practice2 min

2.14.1. Continuity2 min

2.14.2. Example2 min

2.14.3. Practice4 min

2.15.1. The Intermediate Value Theorem2 min

2.15.2. Example2 min

2.15.3. Practice2 min

3. Derivatives

2.8hr

3.1.1. Derivatives as a Rate of Change2 min

3.1.2. Average Rate of Change46 sec

3.1.3. Example2 min

3.1.4. Practice1 min

3.2.1. The Limit Definition of a Derivative2 min

3.2.2. Example3 min

3.2.3. Practice5 min

3.3.1. Differentiation Laws51 sec

3.4.1. The Power Rule1 min

3.4.2. Example2 min

3.4.3. Practice51 sec

3.5.1. The Product Rule49 sec

3.5.2. Example2 min

3.5.3. Example2 min

3.5.4. Practice2 min

3.6.1. The Quotient Rule1 min

3.6.2. Example2 min

3.6.3. Practice4 min

3.7.1. Tangent Lines1 min

3.7.2. Example3 min

3.7.3. Practice2 min

3.8.1. Normal Lines1 min

3.8.2. Example3 min

3.8.3. Practice

3.8.4. Practice1 min

3.9.1. Higher Order Derivatives2 min

3.9.2. Example3 min

3.9.3. Practice2 min

3.9.4. Practice

3.9.5. Practice2 min

3.10.1. Derivatives of Trigonometric Functions1 min

3.10.2. Example39 sec

3.10.3. Example3 min

3.10.4. Example1 min

3.10.5. Practice3 min

3.10.6. Practice2 min

3.11.1. The Chain Rule1 min

3.11.2. Example2 min

3.11.3. Practice3 min

3.12.1. Implicit Differentiation2 min

3.12.2. Example3 min

3.12.3. Practice3 min

3.12.4. Example3 min

3.13.1. Derivatives of Inverse Functions52 sec

3.13.2. Example2 min

3.13.3. Practice3 min

3.14.1. Derivatives of Exponential Functions1 min

3.14.2. Example52 sec

3.14.3. Example3 min

3.14.4. Practice1 min

3.15.1. Derivatives of Logarithmic Functions1 min

3.15.2. Example56 sec

3.15.3. Example2 min

3.15.4. Practice2 min

3.15.5. Practice: Log and Ln2 min

3.16.1. Logarithmic Differentiation2 min

3.16.2. Example2 min

3.16.3. Practice3 min

3.17.1. Inverse Trigonometric Functions4 min

3.17.2. Example3 min

3.17.3. Practice2 min

3.17.4. Practice2 min

3.18.1. Inverse Trig Derivatives1 min

3.18.2. Example1 min

3.18.3. Practice3 min

3.19.1. Related Rates1 min

3.19.2. Example5 min

3.19.3. Example4 min

3.19.4. Practice2 min

3.19.5. Practice4 min

3.19.6. Practice4 min

3.20.1. Linearization (Linear Approximation)59 sec

3.20.2. Example3 min

3.20.3. Practice3 min

3.20.4. Practice3 min

3.21.1. Differentials2 min

3.21.2. Example3 min

3.21.3. Practice2 min

4. Applications of Derivatives

1.9hr

4.1.1. Extreme Value Theorem1 min

4.2.1. Maximum and Minimum on Closed Intervals2 min

4.2.2. Example4 min

4.2.3. Practice3 min

4.2.4. Practice3 min

4.3.1. The Mean Value Theorem1 min

4.3.2. Example2 min

4.3.3. Practice2 min

4.4.1. L’Hopital’s Rule2 min

4.4.2. Example2 min

4.4.3. Practice5 min

4.5.1. Solving General Indeterminate Forms2 min

4.5.2. Example2 min

4.5.3. Practice5 min

4.5.4. Practice2 min

4.6.1. Critical Points and Extrema2 min

4.6.3. Practice3 min

4.7.1. Intervals of Increase and Decrease1 min

4.7.2. Example2 min

4.7.3. Practice3 min

4.8.1. 1st and 2nd Derivative Tests3 min

4.8.2. Example7 min

4.8.4. Practice3 min

4.9.1. Concavity and Inflection Points56 sec

4.9.2. Example6 min

4.9.3. Practice6 min

4.10.1. Curve Sketching2 min

4.10.2. Example7 min

4.10.3. Practice9 min

4.11.1. Optimization1 min

4.11.2. Example4 min

4.11.3. Example4 min

4.11.4. Practice6 min

4.11.5. Practice4 min

Mock Exams

ME.1. Final Exam - Mock Assessment - Mock Exam23 Qns

ME.2. Final Exam - Mock Assessment - Mock Exam28 Qns

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Welcome to Calc 1!
My name is Brian and I'm the instructor for this course. Feel free to go through this course at your own pace
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