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 Limits2.15.4. Limits2.15.5. Limits2.15.6. Limits2.15.7. Limits2.15.8. Limits2.15.9. Limits2.15.10. Limits: Indeterminate forms2.15.11. Limits2.15.12. IVT2.15.13. IVT2.15.14. IVT2.15.15. Fundamental Trig Limit2.15.16. Fundamental Trig Limit2.15.17. Squeeze Theorem2.15.18. Squeeze Theorem2.15.19. Squeeze Theorem2.15.20. Continuity
3. Derivatives
2.8hr3.21.1. 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
3hr- 4.I. Chapter Intro
4.11.1. Related Rates4.11.2. Related Rates4.11.3. Related Rates4.11.4. Linear Approximation4.11.5. Linear Approximation4.11.6. Newton's Method4.11.7. 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 Theorem4.11.18. Rolle's Theorem4.11.19. MVT4.11.20. MVT4.11.21. MVT4.11.22. MVT4.11.23. Intervals of Increase and Decrease4.11.24. Intervals of Increase and Decrease4.11.25. Critical Points4.11.26. Critical Points4.11.27. Extrema4.11.28. Extrema4.11.29. Second Derivative Test4.11.30. Curve Sketching4.11.31. Curve Sketching4.11.32. 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 Trig6.9.4. Integration by Substitution6.9.5. Integration by Substitution6.9.6. Integration by Substitution6.9.7. Integration by Substitution6.9.8. Computing Integrals6.9.9. Finite Sums6.9.10. Finite Sums6.9.11. Finite Sums6.9.12. Riemann Sums6.9.13. Riemann Sums6.9.14. Riemann Sums6.9.15. Integral from Definition6.9.16. Integral from Definition6.9.17. Definite Integral6.9.18. Substitution with Definite Integral6.9.19. 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 Parts7.6.2. Integration by Parts7.6.3. Integration by Parts7.6.4. Integration by Parts7.6.5. Integration by Parts7.6.6. Trigonometric Integral7.6.7. Trigonometric Integral7.6.8. Trigonometric Integral with IBP7.6.9. Trigonometric Substitution7.6.10. Trigonometric Substitution7.6.11. Trigonometric Substitution7.6.12. Partial Fraction Decomposition7.6.13. Partial Fraction Decomposition7.6.14. Partial Fraction Decomposition7.6.15. The Trapezoid Rule7.6.16. The Trapezoid Rule7.6.17. Simpson's Rule
8. Improper Integrals
26min9. Taylor and Maclaurin Polynomials & Power Series
1.1hrMock Exam
Midterm Overview
Course Notes


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