Want a free subscription and 50% off Grade Boosters?
Become a class representative and get free study help for 15 minutes of work per week!
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 Derivatives1 min2.5.4. Derivative by Definition2.5.5. Chain Rule2.5.6. Chain Rule2.5.7. Quotient Rule10 min2.5.8. Quotient Rule2 min2.5.9. Power of a Function Rule2 min2.5.10. Implicit Differentiation2.5.11. Implicit Differentiation2.5.12. Second Derivative6 min2.5.13. Logarithmic Differentiation4 min2.5.14. Logarithmic Differentiation 2.5.15. Inverse Trigonometric Derivatives2.5.16. Tangent Lines2.5.17. Tangent Lines2.5.18. Horizontal Tangent Lines2 min2.5.19. Product Rule6 min2.5.20. Product Rule4 min2.5.21. Product Rule4 min2.5.22. Normal Line5 min
3. Shortcuts to Differentiation
1.9hr3.12.1. Derivative by Definition3.12.2. Basic Derivatives3.12.3. Basic Derivatives1 min3.12.4. Derivative by Definition3.12.5. Chain Rule3.12.6. Chain Rule3.12.7. Quotient Rule10 min3.12.8. Quotient Rule2 min3.12.9. Power of a Function Rule2 min3.12.10. Implicit Differentiation3.12.11. Implicit Differentiation3.12.12. Second Derivative6 min3.12.13. Logarithmic Differentiation4 min3.12.14. Logarithmic Differentiation 3.12.15. Inverse Trigonometric Derivatives3.12.16. Tangent Lines3.12.17. Tangent Lines3.12.18. Horizontal Tangent Lines2 min3.12.19. Product Rule6 min3.12.20. Product Rule4 min3.12.21. Product Rule4 min3.12.22. Normal Line5 min
4. Using The Derivative
2.6hr4.9.1. Related Rates4.9.2. Related Rates5 min4.9.3. Related Rates5 min4.9.4. Linear Approximation4 min4.9.5. Linear Approximation4.9.6. Taylor Series from Definition7 min4.9.7. Taylor Polynomials4.9.8. Maclaurin Polynomial4.9.9. Newton's Method2 min4.9.10. 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 Theorem1 min4.9.21. Rolle's Theorem6 min4.9.22. MVT4.9.23. MVT2 min4.9.24. MVT3 min4.9.25. MVT4.9.26. Intervals of Increase and Decrease4.9.27. Intervals of Increase and Decrease3 min4.9.28. Critical Points6 min4.9.29. Critical Points1 min4.9.30. Extrema5 min4.9.31. Extrema6 min4.9.32. Second Derivative Test10 min4.9.33. Curve Sketching4.9.34. Curve Sketching12 min4.9.35. 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 Trig1 min5.8.4. Integration by Substitution5.8.5. Integration by Substitution2 min5.8.6. Integration by Substitution3 min5.8.7. Integration by Substitution3 min5.8.8. Computing Integrals3 min5.8.9. Finite Sums3 min5.8.10. Finite Sums5.8.11. Finite Sums5.8.12. Riemann Sums5.8.13. Riemann Sums5.8.14. Riemann Sums5.8.15. Integral from Definition3 min5.8.16. Integral from Definition5.8.17. Definite Integral2 min5.8.18. Substitution with Definite Integral3 min5.8.19. 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 Trig1 min6.11.4. Integration by Substitution6.11.5. Integration by Substitution2 min6.11.6. Integration by Substitution3 min6.11.7. Integration by Substitution3 min6.11.8. Computing Integrals3 min6.11.9. Finite Sums3 min6.11.10. Finite Sums6.11.11. Finite Sums6.11.12. Riemann Sums6.11.13. Riemann Sums6.11.14. Riemann Sums6.11.15. Integral from Definition3 min6.11.16. Integral from Definition6.11.17. Definite Integral2 min6.11.18. Substitution with Definite Integral3 min6.11.19. 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
1.2hrMAT133Y1 Overview
0:00 / 0:00
Welcome to MAT133Y1! This on-demand course was put together especially for MAT133Y1 at U of T. 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!
I
Isaac 4.7
M sc. Mathematics
Get Started
Up Next
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.