Welcome to MATH-1524! This on-demand course was put together especially for MATH-1524 at VT. 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!
MATH-1524
VT
Course Overview
Lessons & Practice
I. Welcome
1. Functions
3hr2. Business Terminology
2hr2.1.1. Cost, Price, Revenue, and Profit1 min2.1.2. Supply and Demand2 min2.1.3. Marginal & Average Cost, Revenue and Profit1 min2.1.4. Example: Average Rate of Change of Cost2 min2.1.5. Practice: Average Profit4 min2.1.6. Example: Marginal Cost2 min2.1.7. Practice: Marginal Revenue given Price Function2 min2.1.8. Practice: Marginal Revenue and Profit7 min
3. Applications of Exponential Functions
2.2hr4. Rates of Change
1.7hr4.9.1. Derivative by Definition4.9.2. Basic Derivatives4.9.3. Basic Derivatives1 min4.9.4. Derivative by Definition4.9.5. Chain Rule4.9.6. Chain Rule4.9.7. Quotient Rule10 min4.9.8. Quotient Rule2 min4.9.9. Power of a Function Rule2 min4.9.10. Implicit Differentiation4.9.11. Implicit Differentiation4.9.12. Second Derivative6 min4.9.13. Logarithmic Differentiation4 min4.9.14. Logarithmic Differentiation 4.9.15. Inverse Trigonometric Derivatives4.9.16. Tangent Lines4.9.17. Tangent Lines4.9.18. Horizontal Tangent Lines2 min4.9.19. Product Rule6 min4.9.20. Product Rule4 min4.9.21. Product Rule4 min4.9.22. Normal Line5 min
5. Derivative Rules
1.8hr5.11.1. Derivative by Definition5.11.2. Basic Derivatives5.11.3. Basic Derivatives1 min5.11.4. Derivative by Definition5.11.5. Chain Rule5.11.6. Chain Rule5.11.7. Quotient Rule10 min5.11.8. Quotient Rule2 min5.11.9. Power of a Function Rule2 min5.11.10. Implicit Differentiation5.11.11. Implicit Differentiation5.11.12. Second Derivative6 min5.11.13. Logarithmic Differentiation4 min5.11.14. Logarithmic Differentiation 5.11.15. Inverse Trigonometric Derivatives5.11.16. Tangent Lines5.11.17. Tangent Lines5.11.18. Horizontal Tangent Lines2 min5.11.19. Product Rule6 min5.11.20. Product Rule4 min5.11.21. Product Rule4 min5.11.22. Normal Line5 min
6. Graphing Applications of Derivatives
5hr6.17.1. Related Rates6.17.2. Related Rates5 min6.17.3. Related Rates5 min6.17.4. Linear Approximation4 min6.17.5. Linear Approximation6.17.6. Taylor Series from Definition7 min6.17.7. Taylor Polynomials6.17.8. Maclaurin Polynomial6.17.9. Newton's Method2 min6.17.10. Newton's Method6.17.11. L'Hopital's Rule6.17.12. L'Hopital's Rule6.17.13. L'Hopital's Rule6.17.14. Limits6.17.15. L'Hopital's Rule6.17.16. L'Hopital's Rule6.17.17. Limits6.17.18. Limits6.17.19. Extreme Value Theorem6.17.20. Rolle's Theorem1 min6.17.21. Rolle's Theorem6 min6.17.22. MVT6.17.23. MVT2 min6.17.24. MVT3 min6.17.25. MVT6.17.26. Intervals of Increase and Decrease6.17.27. Intervals of Increase and Decrease3 min6.17.28. Critical Points6 min6.17.29. Critical Points1 min6.17.30. Extrema5 min6.17.31. Extrema6 min6.17.32. Second Derivative Test10 min6.17.33. Curve Sketching6.17.34. Curve Sketching12 min6.17.35. Curve Sketching6.17.36. Optimization6.17.37. Optimization6.17.38. Optimization
7. Functions of Several Variables
1.8hr8. Differential Equations
1.2hrMATH-1524 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.