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MA103
Wilfrid Laurier University
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
3hr2. Limits
1.9hr2.15.1. One-sided Limits2.15.2. Limits2.15.3. Special Limits4 min2.15.4. Limits2.15.5. Limits2.15.6. Limits2.15.7. Limits2.15.8. Limits2.15.9. Limits2.15.10. Limits: Indeterminate forms2.15.11. Limits3 min2.15.12. IVT2.15.13. IVT2.15.14. IVT5 min2.15.15. Fundamental Trig Limit5 min2.15.16. Fundamental Trig Limit3 min2.15.17. Squeeze Theorem1 min2.15.18. Squeeze Theorem4 min2.15.19. Squeeze Theorem2.15.20. Continuity
3. Derivatives
2.8hr3.20.1. Derivative by Definition3.20.2. Basic Derivatives3.20.3. Basic Derivatives1 min3.20.4. Derivative by Definition3.20.5. Chain Rule3.20.6. Chain Rule3.20.7. Quotient Rule10 min3.20.8. Quotient Rule2 min3.20.9. Power of a Function Rule2 min3.20.10. Implicit Differentiation3.20.11. Implicit Differentiation3.20.12. Second Derivative6 min3.20.13. Logarithmic Differentiation4 min3.20.14. Logarithmic Differentiation 3.20.15. Inverse Trigonometric Derivatives3.20.16. Tangent Lines3.20.17. Tangent Lines3.20.18. Horizontal Tangent Lines2 min3.20.19. Product Rule6 min3.20.20. Product Rule4 min3.20.21. Product Rule4 min3.20.22. 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. Integrals
2.7hr6.15.1. Antiderivatives: Indefinite Integrals6.15.2. Indefinite Integral with Trig and Inverse Trig6.15.3. Definite Integral with Trig1 min6.15.4. Integration by Substitution6.15.5. Integration by Substitution2 min6.15.6. Integration by Substitution3 min6.15.7. Integration by Substitution3 min6.15.8. Computing Integrals3 min6.15.9. Finite Sums3 min6.15.10. Finite Sums6.15.11. Finite Sums6.15.12. Riemann Sums6.15.13. Riemann Sums6.15.14. Riemann Sums6.15.15. Integral from Definition3 min6.15.16. Integral from Definition6.15.17. Definite Integral2 min6.15.18. Substitution with Definite Integral3 min6.15.19. Integration6.15.20. Definite Integral6.15.21. FTC I6.15.22. FTC I6.15.23. FTC I
7. Applications of Integration
1.6hr- 7.I. Chapter Intro23 sec
7.6.1. Displacement, Velocity, and Acceleration3 min7.6.2. Position, Velocity and Acceleration 2 min7.6.3. Position, Velocity and Acceleration 3 min7.6.4. Average Value of a Function2 min7.6.5. Average Value of a Function7.6.6. Average Function Value of a Function1 min7.6.7. Area Between Curves7.6.8. Area Between Curves4 min7.6.9. Area Between Curves7.6.10. Area Between Curves7.6.11. Volumes of Revolution, Cylindrical Shells7.6.12. Volumes of Revolution, Disc/Washer4 min7.6.13. Volumes of Revolution, Cylindrical Shells7.6.14. Volumes of Revolution9 min7.6.15. Arc Length4 min7.6.16. Arc Length4 min7.6.17. Arc Length with Partial Fractions7 min7.6.18. Arc Length with Perfect Square4 min7.6.19. Surface Area6 min7.6.20. Surface Area5 min
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. Sequences & Series
6min10. Differential Equations
1.2hrMA103 Overview
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