MAT133Y1
U of T
Course Overview
Lessons & Practice
I. Welcome
1. Functions and Change
1.9hr2. Rate of Change: The Derivative
1.4hr2.5.1. Derivative by Definition2.5.2. Basic Derivatives2.5.3. Basic Derivatives2.5.4. Derivative by Definition2.5.5. Chain Rule2.5.6. Chain Rule2.5.7. Quotient Rule2.5.8. Quotient Rule2.5.9. Power of a Function Rule2.5.10. Implicit Differentiation2.5.11. Implicit Differentiation2.5.12. Second Derivative2.5.13. Logarithmic Differentiation2.5.14. Logarithmic Differentiation 2.5.15. Inverse Trigonometric Derivatives2.5.16. Tangent Lines2.5.17. Tangent Lines2.5.18. Horizontal Tangent Lines2.5.19. Product Rule2.5.20. Product Rule2.5.21. Product Rule2.5.22. Normal Line
3. Shortcuts to Differentiation
1.9hr3.12.1. Derivative by Definition3.12.2. Basic Derivatives3.12.3. Basic Derivatives3.12.4. Derivative by Definition3.12.5. Chain Rule3.12.6. Chain Rule3.12.7. Quotient Rule3.12.8. Quotient Rule3.12.9. Power of a Function Rule3.12.10. Implicit Differentiation3.12.11. Implicit Differentiation3.12.12. Second Derivative3.12.13. Logarithmic Differentiation3.12.14. Logarithmic Differentiation 3.12.15. Inverse Trigonometric Derivatives3.12.16. Tangent Lines3.12.17. Tangent Lines3.12.18. Horizontal Tangent Lines3.12.19. Product Rule3.12.20. Product Rule3.12.21. Product Rule3.12.22. Normal Line
4. Using The Derivative
2.6hr4.9.1. Related Rates4.9.2. Related Rates4.9.3. Related Rates4.9.4. Linear Approximation4.9.5. Linear Approximation4.9.6. Taylor Series from Definition4.9.7. Taylor Polynomials4.9.8. Maclaurin Polynomial4.9.9. Newton's Method4.9.10. Newton's Method4.9.11. L'Hopital's Rule4.9.12. L'Hopital's Rule4.9.13. L'Hopital's Rule4.9.14. Limits4.9.15. L'Hopital's Rule4.9.16. L'Hopital's Rule4.9.17. Limits4.9.18. Limits4.9.19. Extreme Value Theorem4.9.20. Rolle's Theorem4.9.21. Rolle's Theorem4.9.22. MVT4.9.23. MVT4.9.24. MVT4.9.25. MVT4.9.26. Intervals of Increase and Decrease4.9.27. Intervals of Increase and Decrease4.9.28. Critical Points4.9.29. Critical Points4.9.30. Extrema4.9.31. Extrema4.9.32. Second Derivative Test4.9.33. Curve Sketching4.9.34. Curve Sketching4.9.35. Curve Sketching4.9.36. Optimization4.9.37. Optimization4.9.38. Optimization
5. Accumulated Change: The Definite Integral
1.5hr5.8.1. Antiderivatives: Indefinite Integrals5.8.2. Indefinite Integral with Trig and Inverse Trig5.8.3. Definite Integral with Trig5.8.4. Integration by Substitution5.8.5. Integration by Substitution5.8.6. Integration by Substitution5.8.7. Integration by Substitution5.8.8. Computing Integrals5.8.9. Finite Sums5.8.10. Finite Sums5.8.11. Finite Sums5.8.12. Riemann Sums5.8.13. Riemann Sums5.8.14. Riemann Sums5.8.15. Integral from Definition5.8.16. Integral from Definition5.8.17. Definite Integral5.8.18. Substitution with Definite Integral5.8.19. Integration5.8.20. Definite Integral5.8.21. FTC I5.8.22. FTC I5.8.23. FTC I
6. Antiderivatives and Application
1.8hr6.11.1. Antiderivatives: Indefinite Integrals6.11.2. Indefinite Integral with Trig and Inverse Trig6.11.3. Definite Integral with Trig6.11.4. Integration by Substitution6.11.5. Integration by Substitution6.11.6. Integration by Substitution6.11.7. Integration by Substitution6.11.8. Computing Integrals6.11.9. Finite Sums6.11.10. Finite Sums6.11.11. Finite Sums6.11.12. Riemann Sums6.11.13. Riemann Sums6.11.14. Riemann Sums6.11.15. Integral from Definition6.11.16. Integral from Definition6.11.17. Definite Integral6.11.18. Substitution with Definite Integral6.11.19. Integration6.11.20. Definite Integral6.11.21. FTC I6.11.22. FTC I6.11.23. FTC I
7. Probability
28min8. Functions of Several Variables
1.9hr9. Mathematical Modeling Using Differential Equations
1.6hr10. Geometric Series and Compound Interest
4hr11. Systems of Linear Equations and Matrices
4hr12. Applications of Linear Algebra
1.4hr13. Differential Equations
1.2hrTest 2 Overview
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.