Welcome to MATH 151! This on-demand course was put together especially for MATH 151 at McGill. 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!
MATH 151
McGill
Course Overview
Lessons & Practice
1. Integrals (Chapter 5)
1.5hr2. Applications of Integrals (Chapter 6)
1hr3. Techniques of Integration (Chapter 7)
2.6hr3.2.1. Trigonometric Integrals3 min3.2.2. Practice (odd power of )3 min3.2.3. Practice (odd power of )3 min3.2.4. Practice (even powers of & )2 min3.2.5. Practice (even power of )4 min3.2.6. Practice (w/ )3 min3.2.7. Practice ( & )1 min3.2.8. Practice (special case )3 min3.2.9. Practice (special case )5 min3.2.10. Reduction Formula2 min3.2.11. Practice5 min3.2.12. Practice3 min
4. Further Applications for Integration (Chapter 8)
34min5. Multiple Integrals (Chapter 15)
3min6. Vector Functions (Chapter 13 and notes)
55min6.1.1. 3D Cooridnate System4 min6.1.2. Vectors7 min6.1.3. Dot Product7 min6.1.4. Cross Product6 min6.1.5. Equations of Lines & Planes10 min6.1.6. Cylinder & Quadric Surface6.1.7. Example: Quadratic Surfaces (1)3 min6.1.8. Example: Quadratic Surfaces (2)2 min6.1.9. Cylindrical & Spherical Coordinates
7. Parametric Equations and Polar Coordinates (Chapter 10)
1.8hr7.2.1. Tangents/Derivatives of Parametric Curves2 min7.2.2. Practice (derivatives)2 min7.2.3. Practice (horizontal/vertical tangents)5 min7.2.4. Practice (horizontal/vertical tangents*)6 min7.2.5. Arc Length, Area, and Surface Area2 min7.2.6. Practice (arc length)3 min7.2.7. Practice (area)3 min7.2.8. Practice (surface area)6 min7.2.9. Practice (surface area)5 min
7.4.1. Tangents/Derivatives of Polar Curves2 min7.4.2. Practice (derivative)4 min7.4.3. Practice (horizontal/vertical tangents)7 min7.4.4. Arc Length, Area Under & Between Curves2 min7.4.5. Practice (arc length)3 min7.4.6. Practice (area inside curve)2 min7.4.7. Practice (area inside curve)4 min7.4.8. Practice (area between curves)8 min
8. Infinite Sequences and Series (Chapter 11)
3hr8.4.1. Series and Limit Comparison Tests5 min8.4.2. Practice (limit comparison test)2 min8.4.3. Practice (limit comparison test)3 min8.4.4. Practice (telescoping series*)6 min8.4.5. Practice (series comparison test)5 min8.4.6. Practice (series comparison test)2 min8.4.7. Practice (telescoping series*)3 min
8.10.1. Representing Functions as Power Series2 min8.10.2. Practice2 min8.10.3. Practice2 min8.10.4. Practice (w/ partial fractions)7 min8.10.5. Differentiation and Integration of Power Series3 min8.10.6. Practice (differentiating power series)4 min8.10.7. Practice (integrating power series)4 min8.10.8. Practice (integrating power series*)8 min
8.11.1. Taylor and Maclaurin Series6 min8.11.2. Practice (Taylor series)7 min8.11.3. Common Maclaurin Series (Memorize!)*5 min8.11.4. Practice (Maclaurin series)2 min8.11.5. Practice (Maclaurin series)3 min8.11.6. Practice (Maclaurin series of an integral)2 min8.11.7. Practice (evaluating a series*)3 min
9. Differential calculus in several variables
1.1hrMATH 151 Overview
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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.