MAT136H1
U of T
Course Overview
Lessons & Practice
1. Week 1: Taylor Polynomials, Distance and Sigma notation
48min2. Week 2: Riemann Sums, FTC, and Definite Integrals
46min2.3.1. Fundamental Theorem of Calculus2.3.2. Example: Fundamental Theorem of Calculus Part II2.3.3. Example: Definite Integral2.3.4. Wize Concept Clarifier 22.3.5. Practice: Definite with Fraction2.3.6. Practice Question: Property of Definite Integral2.3.7. Practice Question: Definite Integral2.3.8. Practice Question: Definite Integral
3. Week 3: Antiderivatives and Differential Equations
41min4. Week 4: FTC II, Substitution, and Integration by Parts
1.8hr4.5.1. Trigonometric Integrals4.5.2. Practice (odd power of )4.5.3. Practice (odd power of )4.5.4. Practice (even powers of & )4.5.5. Practice (even power of )4.5.6. Practice (w/ )4.5.7. Practice ( & )4.5.8. Practice (special case )4.5.9. Practice (special case )4.5.10. Reduction Formula4.5.11. Practice4.5.12. Practice
5. Week 5: Improper Integrals and Comparison Tests
26min6. Week 6: Separation of Variables, and Growth and Decay
60min7. Week 7: Systems of DEs and Taylor Approximations for DEs
8. Week 8: Convergence of Series and Ratio Test
22min9. Week 9: Taylor Polynomials, Taylor Series, and Power Series
50min10. Power Series and Solving DEs With Taylor Series
32min10.1.1. Representing Functions as Power Series10.1.2. Practice10.1.3. Practice10.1.4. Practice (w/ partial fractions)10.1.5. Differentiation and Integration of Power Series10.1.6. Practice (differentiating power series)10.1.7. Practice (integrating power series)10.1.8. Practice (integrating power series*)
11. Week 11: Areas, Volumes, Applications to Geometry, Density, and Centre of Mass
1.1hrTest 2 Overview
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.