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MATH 128
UWaterloo
Course Overview
Lessons & Practice
I. Welcome
1. Review of Derivatives & Integrals
3hr1.21.1. Derivative by Definition1.21.2. Basic Derivatives1.21.3. Basic Derivatives1 min1.21.4. Derivative by Definition1.21.5. Chain Rule1.21.6. Chain Rule1.21.7. Quotient Rule10 min1.21.8. Quotient Rule2 min1.21.9. Power of a Function Rule2 min1.21.10. Implicit Differentiation1.21.11. Implicit Differentiation1.21.12. Second Derivative6 min1.21.13. Logarithmic Differentiation4 min1.21.14. Logarithmic Differentiation 1.21.15. Inverse Trigonometric Derivatives1.21.16. Tangent Lines1.21.17. Tangent Lines1.21.18. Horizontal Tangent Lines2 min1.21.19. Product Rule6 min1.21.20. Product Rule4 min1.21.21. Product Rule4 min1.21.22. Normal Line5 min
2. Unit 1: Sequences & Series
2.6hr2.4.1. Series and Limit Comparison Tests5 min2.4.2. Example: Limit Comparison Test3 min2.4.3. Example: Limit Comparison Test3 min2.4.4. Practice (limit comparison test)2 min2.4.5. Practice (limit comparison test)3 min2.4.6. Practice (telescoping series*)6 min2.4.7. Practice (series comparison test)5 min2.4.8. Practice (series comparison test)2 min2.4.9. Practice (telescoping series*)3 min
3. Unit 2: Power Series & Taylor Polynomials
2.2hr3.2.1. Representing Functions as Power Series2 min3.2.2. Example: Power Series Representation5 min3.2.3. Practice2 min3.2.4. Practice2 min3.2.5. Practice (w/ partial fractions)7 min3.2.6. Differentiation and Integration of Power Series3 min3.2.7. Example: Differentiating a Power Series3 min3.2.8. Example: Integrating a Power Series4 min3.2.9. Practice (differentiating power series)4 min3.2.10. Practice (integrating power series)4 min3.2.11. Practice (integrating power series*)8 min
3.3.1. Taylor and Maclaurin Series6 min3.3.2. Example: Taylor Series7 min3.3.3. Practice (Taylor series)7 min3.3.4. Common Maclaurin Series (Memorize!)*5 min3.3.5. Example: Maclaurin Series4 min3.3.6. Practice (Maclaurin series)2 min3.3.7. Practice (Maclaurin series)3 min3.3.8. Practice (Maclaurin series of an integral)2 min3.3.9. Practice (evaluating a series*)3 min
4. Unit 3: Techniques of Integration & Improper Integrals
1.9hr5. Unit 4: Applications of Integrals
38min6. Unit 5: Differential Equations
2hr7. Unit 6/7: Parametric Equations & Polar Coordanites
2.8hr7.2.1. Tangents/Derivatives of Parametric Curves2 min7.2.2. Example: Tangents5 min7.2.3. Practice (derivatives)2 min7.2.4. Practice (horizontal/vertical tangents)5 min7.2.5. Practice (horizontal/vertical tangents*)6 min7.2.6. Arc Length, Area, and Surface Area2 min7.2.7. Example: Surface Area--Parametric Curve6 min7.2.8. Example: Arc Length4 min7.2.9. Practice (arc length)3 min7.2.10. Practice (area)3 min7.2.11. Practice (surface area)6 min7.2.12. Practice (surface area)5 min
7.4.1. Tangents/Derivatives of Polar Curves2 min7.4.2. Example: Tangents7 min7.4.3. Practice (derivative)4 min7.4.4. Practice (horizontal/vertical tangents)7 min7.4.5. Arc Length, Area Under & Between Curves2 min7.4.6. Example: Area Under Polar Curve2 min7.4.7. Example: Arc Length3 min7.4.8. Practice (arc length)3 min7.4.9. Practice (area inside curve)2 min7.4.10. Practice (area inside curve)4 min7.4.11. Practice (area between curves)8 min
MATH 128 Overview
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Welcome to MATH 128! This on-demand course was put together especially for MATH 128 at UWaterloo. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
C
Corey 4.9
BS, MA Mathematics
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Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.