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 Limits4 min2.17.4. Limits2.17.5. Limits2.17.6. Limits2.17.7. Limits2.17.8. Limits2.17.9. Limits2.17.10. Limits: Indeterminate forms2.17.11. Limits3 min2.17.12. IVT2.17.13. IVT2.17.14. IVT5 min2.17.15. Fundamental Trig Limit5 min2.17.16. Fundamental Trig Limit3 min2.17.17. Squeeze Theorem1 min2.17.18. Squeeze Theorem4 min2.17.19. Squeeze Theorem2.17.20. Continuity
3. Differentiation Rules
3hr3.21.1. Derivative by Definition3.21.2. Basic Derivatives3.21.3. Basic Derivatives1 min3.21.4. Derivative by Definition3.21.5. Chain Rule3.21.6. Chain Rule3.21.7. Quotient Rule10 min3.21.8. Quotient Rule2 min3.21.9. Power of a Function Rule2 min3.21.10. Implicit Differentiation3.21.11. Implicit Differentiation3.21.12. Second Derivative6 min3.21.13. Logarithmic Differentiation4 min3.21.14. Logarithmic Differentiation 3.21.15. Inverse Trigonometric Derivatives3.21.16. Tangent Lines3.21.17. Tangent Lines3.21.18. Horizontal Tangent Lines2 min3.21.19. Product Rule6 min3.21.20. Product Rule4 min3.21.21. Product Rule4 min3.21.22. Normal Line5 min
4. Applications of Differentiation
4hr4.20.1. Related Rates4.20.2. Related Rates5 min4.20.3. Related Rates5 min4.20.4. Linear Approximation4 min4.20.5. Linear Approximation4.20.6. Taylor Series from Definition7 min4.20.7. Taylor Polynomials4.20.8. Maclaurin Polynomial4.20.9. Newton's Method2 min4.20.10. 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 Theorem1 min4.20.21. Rolle's Theorem6 min4.20.22. MVT4.20.23. MVT2 min4.20.24. MVT3 min4.20.25. MVT4.20.26. Intervals of Increase and Decrease4.20.27. Intervals of Increase and Decrease3 min4.20.28. Critical Points6 min4.20.29. Critical Points1 min4.20.30. Extrema5 min4.20.31. Extrema6 min4.20.32. Second Derivative Test10 min4.20.33. Curve Sketching4.20.34. Curve Sketching12 min4.20.35. 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 Trig1 min7.11.4. Integration by Substitution7.11.5. Integration by Substitution2 min7.11.6. Integration by Substitution3 min7.11.7. Integration by Substitution3 min7.11.8. Computing Integrals3 min7.11.9. Finite Sums3 min7.11.10. Finite Sums7.11.11. Finite Sums7.11.12. Riemann Sums7.11.13. Riemann Sums7.11.14. Riemann Sums7.11.15. Integral from Definition3 min7.11.16. Integral from Definition7.11.17. Definite Integral2 min7.11.18. Substitution with Definite Integral3 min7.11.19. 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 Parts2 min8.10.2. Integration by Parts8.10.3. Integration by Parts8.10.4. Integration by Parts8.10.5. Integration by Parts8.10.6. Trigonometric Integral3 min8.10.7. Trigonometric Integral8.10.8. Trigonometric Integral with IBP5 min8.10.9. Trigonometric Substitution5 min8.10.10. Trigonometric Substitution6 min8.10.11. Trigonometric Substitution8 min8.10.12. Partial Fraction Decomposition8 min8.10.13. Partial Fraction Decomposition24 min8.10.14. Partial Fraction Decomposition4 min8.10.15. The Trapezoid Rule8.10.16. The Trapezoid Rule2 min8.10.17. 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.