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MATH 100
U of A
Course Overview
Lessons & Practice
I. Welcome
1. Functions/Pre-Calculus (Review)
4hr2. Sequences
43min2.2.1. Sequence Convergence7 min2.2.2. Example5 min2.2.3. Practice2.2.4. Practice Level 13 min2.2.5. Practice Level 13 min2.2.6. Practice: Alternating2 min2.2.7. New Practice Question2.2.8. New Practice Question2.2.9. New Practice Question2.2.10. New Practice Question2.2.11. New Practice Question2.2.12. New Practice Question
3. Limits
1.9hr3.15.1. One-sided Limits3.15.2. Limits3.15.3. Special Limits4 min3.15.4. Limits3.15.5. Limits3.15.6. Limits3.15.7. Limits3.15.8. Limits3.15.9. Limits3.15.10. Limits: Indeterminate forms3.15.11. Limits3 min3.15.12. IVT3.15.13. IVT3.15.14. IVT5 min3.15.15. Fundamental Trig Limit5 min3.15.16. Fundamental Trig Limit3 min3.15.17. Squeeze Theorem1 min3.15.18. Squeeze Theorem4 min3.15.19. Squeeze Theorem3.15.20. Continuity
4. Derivatives & Differentiation Rules
2.8hr4.19.1. Derivative by Definition4.19.2. Basic Derivatives4.19.3. Basic Derivatives1 min4.19.4. Derivative by Definition4.19.5. Chain Rule4.19.6. Chain Rule4.19.7. Quotient Rule10 min4.19.8. Quotient Rule2 min4.19.9. Power of a Function Rule2 min4.19.10. Implicit Differentiation4.19.11. Implicit Differentiation4.19.12. Second Derivative6 min4.19.13. Logarithmic Differentiation4 min4.19.14. Logarithmic Differentiation 4.19.15. Inverse Trigonometric Derivatives4.19.16. Tangent Lines4.19.17. Tangent Lines4.19.18. Horizontal Tangent Lines2 min4.19.19. Product Rule6 min4.19.20. Product Rule4 min4.19.21. Product Rule4 min4.19.22. Normal Line5 min
5. Applications of Differentiation
4hr5.22.1. Related Rates5.22.2. Related Rates5 min5.22.3. Related Rates5 min5.22.4. Linear Approximation4 min5.22.5. Linear Approximation5.22.6. Taylor Series from Definition7 min5.22.7. Taylor Polynomials5.22.8. Maclaurin Polynomial5.22.9. Newton's Method2 min5.22.10. Newton's Method5.22.11. L'Hopital's Rule5.22.12. L'Hopital's Rule5.22.13. L'Hopital's Rule5.22.14. Limits5.22.15. L'Hopital's Rule5.22.16. L'Hopital's Rule5.22.17. Limits5.22.18. Limits5.22.19. Extreme Value Theorem5.22.20. Rolle's Theorem1 min5.22.21. Rolle's Theorem6 min5.22.22. MVT5.22.23. MVT2 min5.22.24. MVT3 min5.22.25. MVT5.22.26. Intervals of Increase and Decrease5.22.27. Intervals of Increase and Decrease3 min5.22.28. Critical Points6 min5.22.29. Critical Points1 min5.22.30. Extrema5 min5.22.31. Extrema6 min5.22.32. Second Derivative Test10 min5.22.33. Curve Sketching5.22.34. Curve Sketching12 min5.22.35. Curve Sketching5.22.36. Optimization5.22.37. Optimization5.22.38. Optimization
6. Integrals
2.9hr6.19.1. Antiderivatives: Indefinite Integrals6.19.2. Indefinite Integral with Trig and Inverse Trig6.19.3. Definite Integral with Trig1 min6.19.4. Integration by Substitution6.19.5. Integration by Substitution2 min6.19.6. Integration by Substitution3 min6.19.7. Integration by Substitution3 min6.19.8. Computing Integrals3 min6.19.9. Finite Sums3 min6.19.10. Finite Sums6.19.11. Finite Sums6.19.12. Riemann Sums6.19.13. Riemann Sums6.19.14. Riemann Sums6.19.15. Integral from Definition3 min6.19.16. Integral from Definition6.19.17. Definite Integral2 min6.19.18. Substitution with Definite Integral3 min6.19.19. Integration6.19.20. Definite Integral6.19.21. FTC I6.19.22. FTC I6.19.23. FTC I
MATH 100 Overview
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