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 Calculus1 min2.3.2. Example: Fundamental Theorem of Calculus Part II1 min2.3.3. Example: Definite Integral4 min2.3.4. Wize Concept Clarifier 23 min2.3.5. Practice: Definite with Fraction2.3.6. Practice Question: Property of Definite Integral2 min2.3.7. Practice Question: Definite Integral3 min2.3.8. Practice Question: Definite Integral2 min
3. Week 3: Antiderivatives and Differential Equations
41min4. Week 4: FTC II, Substitution, and Integration by Parts
1.8hr4.5.1. Trigonometric Integrals3 min4.5.2. Practice (odd power of )3 min4.5.3. Practice (odd power of )3 min4.5.4. Practice (even powers of & )2 min4.5.5. Practice (even power of )4 min4.5.6. Practice (w/ )3 min4.5.7. Practice ( & )1 min4.5.8. Practice (special case )3 min4.5.9. Practice (special case )5 min4.5.10. Reduction Formula2 min4.5.11. Practice5 min4.5.12. Practice3 min
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 Series2 min10.1.2. Practice2 min10.1.3. Practice2 min10.1.4. Practice (w/ partial fractions)7 min10.1.5. Differentiation and Integration of Power Series3 min10.1.6. Practice (differentiating power series)4 min10.1.7. Practice (integrating power series)4 min10.1.8. Practice (integrating power series*)8 min
