Welcome to MAC 2311! This on-demand course was put together especially for MAC 2311 at UCF. 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!
MAC 2311
UCF
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
3hr2. Limits and Derivatives
2.1hr2.17.1. One-sided Limits2.17.2. Limits2.17.3. Special Limits2.17.4. Limits2.17.5. Limits2.17.6. Limits2.17.7. Limits2.17.8. Limits2.17.9. Limits2.17.10. Limits: Indeterminate forms2.17.11. Limits2.17.12. IVT2.17.13. IVT2.17.14. IVT2.17.15. Fundamental Trig Limit2.17.16. Fundamental Trig Limit2.17.17. Squeeze Theorem2.17.18. Squeeze Theorem2.17.19. Squeeze Theorem2.17.20. Continuity
3. Differentiation Rules
3hr3.21.1. Derivative by Definition3.21.2. Basic Derivatives3.21.3. Basic Derivatives3.21.4. Derivative by Definition3.21.5. Chain Rule3.21.6. Chain Rule3.21.7. Quotient Rule3.21.8. Quotient Rule3.21.9. Power of a Function Rule3.21.10. Implicit Differentiation3.21.11. Implicit Differentiation3.21.12. Second Derivative3.21.13. Logarithmic Differentiation3.21.14. Logarithmic Differentiation 3.21.15. Inverse Trigonometric Derivatives3.21.16. Tangent Lines3.21.17. Tangent Lines3.21.18. Horizontal Tangent Lines3.21.19. Product Rule3.21.20. Product Rule3.21.21. Product Rule3.21.22. 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. Applications of Differentiation for Science
41min6. Applications of Differentiation for Business & Econ
42min7. Integrals
2.3hr7.11.1. Antiderivatives: Indefinite Integrals7.11.2. Indefinite Integral with Trig and Inverse Trig7.11.3. Definite Integral with Trig7.11.4. Integration by Substitution7.11.5. Integration by Substitution7.11.6. Integration by Substitution7.11.7. Integration by Substitution7.11.8. Computing Integrals7.11.9. Finite Sums7.11.10. Finite Sums7.11.11. Finite Sums7.11.12. Riemann Sums7.11.13. Riemann Sums7.11.14. Riemann Sums7.11.15. Integral from Definition7.11.16. Integral from Definition7.11.17. Definite Integral7.11.18. Substitution with Definite Integral7.11.19. Integration7.11.20. Definite Integral7.11.21. FTC I7.11.22. FTC I7.11.23. FTC I
8. Integration Techniques
2.4hr8.10.1. Integration by Parts8.10.2. Integration by Parts8.10.3. Integration by Parts8.10.4. Integration by Parts8.10.5. Integration by Parts8.10.6. Trigonometric Integral8.10.7. Trigonometric Integral8.10.8. Trigonometric Integral with IBP8.10.9. Trigonometric Substitution8.10.10. Trigonometric Substitution8.10.11. Trigonometric Substitution8.10.12. Partial Fraction Decomposition8.10.13. Partial Fraction Decomposition8.10.14. Partial Fraction Decomposition8.10.15. The Trapezoid Rule8.10.16. The Trapezoid Rule8.10.17. Simpson's Rule
9. Differential Equations
1.2hrMAC 2311 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.