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MATH 1005
Carleton University
Course Overview
Lessons & Practice
1. Review: Derivatives
1.3hr1.2.1. Derivative Rules7 min1.2.2. Example: Derivative Rules4 min1.2.3. Product, Quotient, and Chain Rule4 min1.2.4. Example: Product, Quotient, and Chain Rule8 min1.2.5. Practice: Finding a Derivative4 min1.2.6. Practice: Finding a Derivative4 min1.2.7. Practice: Higher Order Derivative6 min1.2.8. Practice: Product Rule*6 min1.2.9. Practice: Chain Rule*6 min
2. Integration
1.5hr3. Applications of Integrals
1.6hr4. Integration Techniques
2.6hr4.2.1. Trigonometric Integrals3 min4.2.2. Practice (odd power of )3 min4.2.3. Practice (odd power of )3 min4.2.4. Practice (even powers of & )2 min4.2.5. Practice (even power of )4 min4.2.6. Practice (w/ )3 min4.2.7. Practice ( & )1 min4.2.8. Practice (special case )3 min4.2.9. Practice (special case )5 min4.2.10. Reduction Formula2 min4.2.11. Practice5 min4.2.12. Practice3 min
5. Improper Integrals
40min6. Sequences and Series
2hr6.4.1. Series and Limit Comparison Tests5 min6.4.2. Practice (limit comparison test)2 min6.4.3. Practice (limit comparison test)3 min6.4.4. Practice (telescoping series*)6 min6.4.5. Practice (series comparison test)5 min6.4.6. Practice (series comparison test)2 min6.4.7. Practice (telescoping series*)3 min
7. Power Series
1.4hr7.2.1. Representing Functions as Power Series2 min7.2.2. Practice2 min7.2.3. Practice2 min7.2.4. Practice (w/ partial fractions)7 min7.2.5. Differentiation and Integration of Power Series3 min7.2.6. Practice (differentiating power series)4 min7.2.7. Practice (integrating power series)4 min7.2.8. Practice (integrating power series*)8 min
8. Parametric & Polar Curves
1.8hr8.2.1. Tangents/Derivatives of Parametric Curves2 min8.2.2. Practice (derivatives)2 min8.2.3. Practice (horizontal/vertical tangents)5 min8.2.4. Practice (horizontal/vertical tangents*)6 min8.2.5. Arc Length, Area, and Surface Area2 min8.2.6. Practice (arc length)3 min8.2.7. Practice (area)3 min8.2.8. Practice (surface area)6 min8.2.9. Practice (surface area)5 min
8.4.1. Tangents/Derivatives of Polar Curves2 min8.4.2. Practice (derivative)4 min8.4.3. Practice (horizontal/vertical tangents)7 min8.4.4. Arc Length, Area Under & Between Curves2 min8.4.5. Practice (arc length)3 min8.4.6. Practice (area inside curve)2 min8.4.7. Practice (area inside curve)4 min8.4.8. Practice (area between curves)8 min
9. Differential Equations
1.3hr10. Vector Functions
55min10.1.1. 3D Cooridnate System4 min10.1.2. Vectors7 min10.1.3. Dot Product7 min10.1.4. Cross Product6 min10.1.5. Equations of Lines & Planes10 min10.1.6. Example: Quadratic Surfaces (1)3 min10.1.7. Example: Quadratic Surfaces (2)2 min10.1.8. Cylinder & Quadric Surface10.1.9. Cylindrical & Spherical Coordinates
11. Multivariable Functions
1.1hr12. Bonus: Integral calculus in several variables (Videos Coming Soon)
3min13. Vector Calculus [Coming Soon!]
MATH 1005 Overview
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Welcome to MATH 1005! This on-demand course was put together especially for MATH 1005 at Carleton University. 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!
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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.