MATH 275
U of C
Course Overview
Grade Boosters
Lessons & Practice
I. Welcome to the Wizeprep course shell for Math 275
1. Functions/Pre-Calculus (Optional Review Topics)
4hr2. Limits & Continuity
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
2.8hr3.21.1. 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
3hr- 4.I. Chapter Intro1 min
4.11.1. Related Rates4.11.2. Related Rates5 min4.11.3. Related Rates5 min4.11.4. Linear Approximation4 min4.11.5. Linear Approximation4.11.6. Newton's Method2 min4.11.7. Newton's Method4.11.8. L'Hopital's Rule4.11.9. L'Hopital's Rule4.11.10. L'Hopital's Rule4.11.11. Limits4.11.12. L'Hopital's Rule4.11.13. L'Hopital's Rule4.11.14. Limits4.11.15. Limits4.11.16. Extreme Value Theorem4.11.17. Rolle's Theorem1 min4.11.18. Rolle's Theorem6 min4.11.19. MVT4.11.20. MVT2 min4.11.21. MVT3 min4.11.22. MVT4.11.23. Intervals of Increase and Decrease4.11.24. Intervals of Increase and Decrease3 min4.11.25. Critical Points6 min4.11.26. Critical Points1 min4.11.27. Extrema5 min4.11.28. Extrema6 min4.11.29. Second Derivative Test10 min4.11.30. Curve Sketching4.11.31. Curve Sketching12 min4.11.32. Curve Sketching4.11.33. Optimization4.11.34. Optimization4.11.35. Optimization
5. Antiderivatives
40min6. Integrals
2hr6.9.1. Antiderivatives: Indefinite Integrals6.9.2. Indefinite Integral with Trig and Inverse Trig6.9.3. Definite Integral with Trig1 min6.9.4. Integration by Substitution6.9.5. Integration by Substitution2 min6.9.6. Integration by Substitution3 min6.9.7. Integration by Substitution3 min6.9.8. Computing Integrals3 min6.9.9. Finite Sums3 min6.9.10. Finite Sums6.9.11. Finite Sums6.9.12. Riemann Sums6.9.13. Riemann Sums6.9.14. Riemann Sums6.9.15. Integral from Definition3 min6.9.16. Integral from Definition6.9.17. Definite Integral2 min6.9.18. Substitution with Definite Integral3 min6.9.19. Integration6.9.20. Definite Integral6.9.21. FTC I6.9.22. FTC I6.9.23. FTC I
7. Integration Techniques
2.2hr7.6.1. Integration by Parts2 min7.6.2. Integration by Parts7.6.3. Integration by Parts7.6.4. Integration by Parts7.6.5. Integration by Parts7.6.6. Trigonometric Integral3 min7.6.7. Trigonometric Integral7.6.8. Trigonometric Integral with IBP5 min7.6.9. Trigonometric Substitution5 min7.6.10. Trigonometric Substitution6 min7.6.11. Trigonometric Substitution8 min7.6.12. Partial Fraction Decomposition8 min7.6.13. Partial Fraction Decomposition24 min7.6.14. Partial Fraction Decomposition4 min7.6.15. The Trapezoid Rule7.6.16. The Trapezoid Rule2 min7.6.17. Simpson's Rule
8. Improper Integrals
26min9. Taylor and Maclaurin Polynomials & Power Series
1.1hr
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