MATH 150

SFU

Course Overview

Lessons & Practice

I. Welcome

1. Functions and Models

3hr

1.1.1. Interval Notation 4 min

1.1.2. Set Notation3 min

1.1.3. Example4 min

1.1.4. Practice2 min

1.1.5. Practice52 sec

1.1.6. Cheatsheet

1.2.1. Domain2 min

1.2.2. Range2 min

1.2.3. Example2 min

1.2.4. Practice 40 sec

1.2.5. Practice 3 min

1.3.1. Operations with Functions3 min

1.3.2. Example2 min

1.3.3. Practice2 min

1.3.4. Practice1 min

1.4.1. Even and Odd Functions3 min

1.4.2. Example2 min

1.5.1. Transformation of Graphs2 min

1.5.2. Example1 min

1.5.3. Practice2 min

1.6.1. Basic of Polynomials4 min

1.6.2. Example2 min

1.6.3. Practice3 min

1.6.4. Polynomial Graphs & Characteristics4 min

1.6.5. Example2 min

1.6.6. Practice2 min

1.7.1. Factoring 5 min

1.7.2. Factoring a Difference & Sum of Cubes3 min

1.7.3. Example2 min

1.7.4. Practice46 sec

1.7.5. Practice2 min

1.7.6. Practice2 min

1.8.1. Dividing Polynomials - Long Division6 min

1.8.2. Example3 min

1.8.3. Dividing Polynomials - Synthetic Division8 min

1.8.4. Example2 min

1.8.5. Practice2 min

1.8.6. Practice3 min

1.9.1. Rational Functions4 min

1.9.2. Solving Rational Equations3 min

1.9.3. Example5 min

1.9.4. Example3 min

1.9.5. Practice6 min

1.9.6. Practice2 min

1.10.1. Radical Functions59 sec

1.10.2. Solving Radical Equations5 min

1.10.3. Example5 min

1.10.4. Practice8 min

1.11.1. Absolute Value Function1 min

1.11.2. Example3 min

1.12.1. Inverse Functions3 min

1.12.2. Example3 min

1.12.3. Practice2 min

1.13.1. Exponential Functions3 min

1.13.2. Example1 min

1.13.3. Example2 min

1.14.1. Logarithmic Functions4 min

1.14.2. Example3 min

1.14.3. Example:3 min

1.14.4. Practice2 min

1.15.1. Trigonometric Functions6 min

1.15.2. Example4 min

1.15.3. Trig Identities2 min

1.15.4. Practice3 min

1.15.5. Practice4 min

2. Limits and Derivatives

1.7hr

2.1.1. Instantaneous Rate of Change & the Tangent Line4 min

2.1.2. Example2 min

2.1.3. Practice Level 1

2.1.4. Practice Level 2

2.1.5. Practice Level 3

2.2.1. Limit Basics2 min

2.2.2. Example1 min

2.3.1. Limit Laws 2 min

2.3.2. Practice1 min

2.4.1. Computing Limits by Factoring1 min

2.4.2. Example1 min

2.4.3. Practice2 min

2.5.1. Computing Limits by Multiplying by the Conjugate3 min

2.5.2. Example3 min

2.5.3. Practice3 min

2.6.1. Computing Limits by Getting a Common Denominator1 min

2.6.2. Example2 min

2.6.3. Practice4 min

2.7.1. Infinite Limits2 min

2.7.2. Example1 min

2.7.3. Example3 min

2.8.1. Limits at Infinity3 min

2.8.2. Example60 sec

2.8.3. Example3 min

2.8.4. Example4 min

2.8.5. Practice 3 min

2.8.6. Practice3 min

2.9.1. Continuity2 min

2.9.2. Example2 min

2.9.3. Practice4 min

2.10.1. Derivatives as a Rate of Change2 min

2.10.2. Example2 min

2.10.3. Practice1 min

2.10.4. New Lesson1 min

2.11.1. The Limit Definition of a Derivative2 min

2.11.2. Example3 min

2.11.3. Practice5 min

2.11.4. When is Function Not Differentiable?

3. Differentiation Rules

2.9hr

3.1.1. Differentiation Laws51 sec

3.2.1. The Power Rule1 min

3.2.2. Example2 min

3.2.3. Practice51 sec

3.3.1. Derivatives of Exponential Functions1 min

3.3.2. Example52 sec

3.3.3. Example3 min

3.3.4. Practice1 min

3.4.1. The Product Rule49 sec

3.4.2. Example2 min

3.4.3. Example2 min

3.4.4. Practice2 min

3.5.1. The Quotient Rule1 min

3.5.2. Example2 min

3.5.3. Practice4 min

3.6.1. Derivatives of Trigonometric Functions1 min

3.6.2. Example39 sec

3.6.3. Example3 min

3.6.4. Example1 min

3.6.5. Practice3 min

3.6.6. Practice2 min

3.7.1. The Chain Rule1 min

3.7.2. Example2 min

3.7.3. Practice3 min

3.8.1. Implicit Differentiation2 min

3.8.2. Example3 min

3.8.3. Practice3 min

3.8.4. Example3 min

3.9.1. Derivatives of Logarithmic Functions1 min

3.9.2. Example56 sec

3.9.3. Example2 min

3.9.4. Practice2 min

3.9.5. Practice: Log and Ln2 min

3.10.1. Position, Velocity, and Acceleration1 min

3.10.2. Example3 min

3.10.3. Practice2 min

3.11.1. Exponential Growth and Decay3 min

3.11.2. Example4 min

3.11.3. Example5 min

3.11.4. Practice5 min

3.12.1. Newton’s Law of Cooling1 min

3.12.2. Example5 min

3.12.3. Practice2 min

3.13.1. Related Rates1 min

3.13.2. Example5 min

3.13.3. Example4 min

3.13.4. Practice2 min

3.13.5. Practice4 min

3.13.6. Practice4 min

3.14.1. Linearization (Linear Approximation)59 sec

3.14.2. Example3 min

3.14.3. Practice3 min

3.14.4. Practice3 min

3.15.1. Differentials2 min

3.15.2. Example3 min

3.15.3. Practice2 min

4. Applications of Differentiation

3hr

4.1.1. Critical Points and Extrema2 min

4.1.3. Practice3 min

4.2.1. The Mean Value Theorem1 min

4.2.2. Example2 min

4.2.3. Practice2 min

4.3.1. Intervals of Increase and Decrease1 min

4.3.2. Example2 min

4.3.3. Practice3 min

4.4.1. Concavity and Inflection Points56 sec

4.4.2. Example6 min

4.4.3. Practice6 min

4.5.1. Maximum and Minimum on Closed Intervals2 min

4.5.2. Example4 min

4.5.3. Practice3 min

4.5.4. Practice3 min

4.6.1. 1st and 2nd Derivative Tests3 min

4.6.2. Example7 min

4.6.4. Practice3 min

4.7.1. Extreme Value Theorem1 min

4.8.1. Curve Sketching2 min

4.8.2. Example7 min

4.8.3. Practice9 min

4.8.4. Practice

4.9.1. Indeterminate Forms50 sec

4.10.1. L’Hopital’s Rule2 min

4.10.2. Example2 min

4.10.3. Practice5 min

4.11.1. Solving General Indeterminate Forms2 min

4.11.2. Example2 min

4.11.3. Practice5 min

4.11.4. Practice2 min

4.12.1. Optimization1 min

4.12.2. Example4 min

4.12.3. Example4 min

4.12.4. Practice6 min

4.12.5. Practice4 min

4.13.1. Newton's Method1 min

4.13.2. Example

4.13.3. Example4 min

4.13.4. Practice

4.13.5. Practice2 min

4.14.1. Related Rates

4.14.2. Related Rates5 min

4.14.3. Related Rates5 min

4.14.4. Linear Approximation4 min

4.14.5. Linear Approximation

4.14.6. Taylor Series from Definition7 min

4.14.7. Taylor Polynomials

4.14.8. Maclaurin Polynomial

4.14.9. Newton's Method2 min

4.14.10. Newton's Method

4.14.11. L'Hopital's Rule

4.14.12. L'Hopital's Rule

4.14.13. L'Hopital's Rule

4.14.14. Limits

4.14.15. L'Hopital's Rule

4.14.16. L'Hopital's Rule

4.14.17. Limits

4.14.18. Limits

4.14.19. Extreme Value Theorem

4.14.20. Rolle's Theorem1 min

4.14.21. Rolle's Theorem6 min

4.14.23. MVT2 min

4.14.24. MVT3 min

4.14.26. Intervals of Increase and Decrease

4.14.27. Intervals of Increase and Decrease3 min

4.14.28. Critical Points6 min

4.14.29. Critical Points1 min

4.14.30. Extrema5 min

4.14.31. Extrema6 min

4.14.32. Second Derivative Test10 min

4.14.33. Curve Sketching

4.14.34. Curve Sketching12 min

4.14.35. Curve Sketching

4.14.36. Optimization

4.14.37. Optimization

4.14.38. Optimization

5. Parametric Equations and Polar Coordinates

59min

5.1.1. Parametric Equations4 min

5.1.2. Example: Parametric Equations of the Circle9 min

5.1.3. Practice: Parametric Equations2 min

5.2.1. Derivatives and Concavity3 min

5.2.2. Arc Length and Area in Parametric Equations5 min

5.2.3. Example: Computing the Circumference of a Circle6 min

5.2.4. Practice: Area in Parametric Equations3 min

5.3.1. Polar Coordinates6 min

5.3.2. Example: Converting Cartesian Coordinates to Polar Coordinates4 min

5.3.3. Graphing in Polar Coordinates4 min

5.3.4. Example: Graphing a Polar Equation6 min

5.3.5. Areas in Polar Coordinates3 min

5.3.6. Practice: Polar Coordinates4 min

Midterm 2 Overview

Course Notes

Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.

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