Welcome to M 408K! This on-demand course was put together especially for M 408K at UT Austin. 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!
M 408K
UT Austin
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
3hr2. Limits and Derivatives
2hr2.16.1. One-sided Limits2.16.2. Limits2.16.3. Special Limits2.16.4. Limits2.16.5. Limits2.16.6. Limits2.16.7. Limits2.16.8. Limits2.16.9. Limits2.16.10. Limits: Indeterminate forms2.16.11. Limits2.16.12. IVT2.16.13. IVT2.16.14. IVT2.16.15. Fundamental Trig Limit2.16.16. Fundamental Trig Limit2.16.17. Squeeze Theorem2.16.18. Squeeze Theorem2.16.19. Squeeze Theorem2.16.20. Continuity
3. Differentiation Rules
3hr3.19.1. Derivative by Definition3.19.2. Basic Derivatives3.19.3. Basic Derivatives3.19.4. Derivative by Definition3.19.5. Chain Rule3.19.6. Chain Rule3.19.7. Quotient Rule3.19.8. Quotient Rule3.19.9. Power of a Function Rule3.19.10. Implicit Differentiation3.19.11. Implicit Differentiation3.19.12. Second Derivative3.19.13. Logarithmic Differentiation3.19.14. Logarithmic Differentiation 3.19.15. Inverse Trigonometric Derivatives3.19.16. Tangent Lines3.19.17. Tangent Lines3.19.18. Horizontal Tangent Lines3.19.19. Product Rule3.19.20. Product Rule3.19.21. Product Rule3.19.22. Normal Line
4. Applications of Differentiation
4hr4.20.1. Related Rates4.20.2. Related Rates4.20.3. Related Rates4.20.4. Linear Approximation4.20.5. Linear Approximation4.20.6. Taylor Series from Definition4.20.7. Taylor Polynomials4.20.8. Maclaurin Polynomial4.20.9. Newton's Method4.20.10. Newton's Method4.20.11. L'Hopital's Rule4.20.12. L'Hopital's Rule4.20.13. L'Hopital's Rule4.20.14. Limits4.20.15. L'Hopital's Rule4.20.16. L'Hopital's Rule4.20.17. Limits4.20.18. Limits4.20.19. Extreme Value Theorem4.20.20. Rolle's Theorem4.20.21. Rolle's Theorem4.20.22. MVT4.20.23. MVT4.20.24. MVT4.20.25. MVT4.20.26. Intervals of Increase and Decrease4.20.27. Intervals of Increase and Decrease4.20.28. Critical Points4.20.29. Critical Points4.20.30. Extrema4.20.31. Extrema4.20.32. Second Derivative Test4.20.33. Curve Sketching4.20.34. Curve Sketching4.20.35. Curve Sketching4.20.36. Optimization4.20.37. Optimization4.20.38. Optimization
5. Integrals
1.8hr5.8.1. 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. Differential Equations
1.2hrM 408K Overview
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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.