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MATH*1080
University of Guelph
Course Overview
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Lessons & Practice
I. Welcome
1. Pre-Calculus
4hr2. Sequences and Series
42min3. Limits
1.9hr3.15.1. One-sided Limits3.15.2. Limits3.15.3. Special Limits3.15.4. Limits3.15.5. Limits3.15.6. Limits3.15.7. Limits3.15.8. Limits3.15.9. Limits3.15.10. Limits: Indeterminate forms3.15.11. Limits3.15.12. IVT3.15.13. IVT3.15.14. IVT3.15.15. Fundamental Trig Limit3.15.16. Fundamental Trig Limit3.15.17. Squeeze Theorem3.15.18. Squeeze Theorem3.15.19. Squeeze Theorem3.15.20. Continuity
4. Derivatives
2.8hr4.20.1. Derivative by Definition4.20.2. Basic Derivatives4.20.3. Basic Derivatives4.20.4. Derivative by Definition4.20.5. Chain Rule4.20.6. Chain Rule4.20.7. Quotient Rule4.20.8. Quotient Rule4.20.9. Power of a Function Rule4.20.10. Implicit Differentiation4.20.11. Implicit Differentiation4.20.12. Second Derivative4.20.13. Logarithmic Differentiation4.20.14. Logarithmic Differentiation 4.20.15. Inverse Trigonometric Derivatives4.20.16. Tangent Lines4.20.17. Tangent Lines4.20.18. Horizontal Tangent Lines4.20.19. Product Rule4.20.20. Product Rule4.20.21. Product Rule4.20.22. Normal Line
5. Applications of Differentiation
4hr5.18.1. Related Rates5.18.2. Related Rates5.18.3. Related Rates5.18.4. Linear Approximation5.18.5. Linear Approximation5.18.6. Newton's Method5.18.7. Newton's Method5.18.8. L'Hopital's Rule5.18.9. L'Hopital's Rule5.18.10. L'Hopital's Rule5.18.11. Limits5.18.12. L'Hopital's Rule5.18.13. L'Hopital's Rule5.18.14. Limits5.18.15. Limits5.18.16. Extreme Value Theorem5.18.17. Rolle's Theorem5.18.18. Rolle's Theorem5.18.19. MVT5.18.20. MVT5.18.21. MVT5.18.22. MVT5.18.23. Intervals of Increase and Decrease5.18.24. Intervals of Increase and Decrease5.18.25. Critical Points5.18.26. Critical Points5.18.27. Extrema5.18.28. Extrema5.18.29. Second Derivative Test5.18.30. Curve Sketching5.18.31. Curve Sketching5.18.32. Curve Sketching5.18.33. Optimization5.18.34. Optimization5.18.35. Optimization
6. Integrals
2.7hr6.15.1. Antiderivatives: Indefinite Integrals6.15.2. Indefinite Integral with Trig and Inverse Trig6.15.3. Definite Integral with Trig6.15.4. Integration by Substitution6.15.5. Integration by Substitution6.15.6. Integration by Substitution6.15.7. Integration by Substitution6.15.8. Computing Integrals6.15.9. Finite Sums6.15.10. Finite Sums6.15.11. Finite Sums6.15.12. Riemann Sums6.15.13. Riemann Sums6.15.14. Riemann Sums6.15.15. Integral from Definition6.15.16. Integral from Definition6.15.17. Definite Integral6.15.18. Substitution with Definite Integral6.15.19. Integration6.15.20. Definite Integral6.15.21. FTC I6.15.22. FTC I6.15.23. FTC I
7. Applications of Integration
16minMock Exams
MATH*1080 Overview
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Welcome to MATH*1080! This on-demand course was put together especially for MATH*1080 at University of Guelph. 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!
C
Corey 4.9
BS, MA Mathematics
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Course Notes
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