Welcome to MTH 124! This on-demand course was put together especially for MTH 124 at MSU. 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!
MTH 124
MSU
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
3hr2. Introduction to The Derivative
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. Techniques of Differentiation with Applications
1.8hr3.11.1. Derivative by Definition3.11.2. Basic Derivatives3.11.3. Basic Derivatives3.11.4. Derivative by Definition3.11.5. Chain Rule3.11.6. Chain Rule3.11.7. Quotient Rule3.11.8. Quotient Rule3.11.9. Power of a Function Rule3.11.10. Implicit Differentiation3.11.11. Implicit Differentiation3.11.12. Second Derivative3.11.13. Logarithmic Differentiation3.11.14. Logarithmic Differentiation 3.11.15. Inverse Trigonometric Derivatives3.11.16. Tangent Lines3.11.17. Tangent Lines3.11.18. Horizontal Tangent Lines3.11.19. Product Rule3.11.20. Product Rule3.11.21. Product Rule3.11.22. Normal Line
4. Further Applications of the Derivative
2.4hr4.9.1. 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. Integrals
2.2hr5.12.1. Antiderivatives: Indefinite Integrals5.12.2. Indefinite Integral with Trig and Inverse Trig5.12.3. Definite Integral with Trig5.12.4. Integration by Substitution5.12.5. Integration by Substitution5.12.6. Integration by Substitution5.12.7. Integration by Substitution5.12.8. Computing Integrals5.12.9. Finite Sums5.12.10. Finite Sums5.12.11. Finite Sums5.12.12. Riemann Sums5.12.13. Riemann Sums5.12.14. Riemann Sums5.12.15. Integral from Definition5.12.16. Integral from Definition5.12.17. Definite Integral5.12.18. Substitution with Definite Integral5.12.19. Integration5.12.20. Definite Integral5.12.21. FTC I5.12.22. FTC I5.12.23. FTC I
6. Applications of Integration
1.2hr6.2.1. Displacement, Velocity, and Acceleration6.2.2. Position, Velocity and Acceleration 6.2.3. Position, Velocity and Acceleration 6.2.4. Average Value of a Function6.2.5. Average Value of a Function6.2.6. Average Function Value of a Function6.2.7. Area Between Curves6.2.8. Area Between Curves6.2.9. Area Between Curves6.2.10. Area Between Curves6.2.11. Volumes of Revolution, Cylindrical Shells6.2.12. Volumes of Revolution, Disc/Washer6.2.13. Volumes of Revolution, Cylindrical Shells6.2.14. Volumes of Revolution6.2.15. Arc Length6.2.16. Arc Length6.2.17. Arc Length with Partial Fractions6.2.18. Arc Length with Perfect Square6.2.19. Surface Area6.2.20. Surface Area
7. Differential Equations
1.2hrMTH 124 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.