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MATH 1030
University of Guelph
Course Overview
Lessons & Practice
I. Welcome!
1. Chapter 1 & 2: Sets/Preliminaries & Algebra Review
2.4hr2. Chapter 3: Some Trigonometry
2.5hr3. Chapter 5 & 6 & 7: Functions & Famous Functions
2.8hr4. Chapter 8: Sequences & Series
2.6hr5. Chapter 9: Some Business Applications
2.3hr6. Chapter 10: Limits & Continuity
1.7hr6.13.1. One-sided Limits6.13.2. Limits6.13.3. Special Limits4 min6.13.4. Limits6.13.5. Limits6.13.6. Limits6.13.7. Limits6.13.8. Limits6.13.9. Limits6.13.10. Limits: Indeterminate forms6.13.11. Limits3 min6.13.12. IVT6.13.13. IVT6.13.14. IVT5 min6.13.15. Fundamental Trig Limit5 min6.13.16. Fundamental Trig Limit3 min6.13.17. Squeeze Theorem1 min6.13.18. Squeeze Theorem4 min6.13.19. Squeeze Theorem6.13.20. Continuity
7. Chapter 11: Differential Calculus
2.4hr7.16.1. Derivative by Definition7.16.2. Basic Derivatives7.16.3. Basic Derivatives1 min7.16.4. Derivative by Definition7.16.5. Chain Rule7.16.6. Chain Rule7.16.7. Quotient Rule10 min7.16.8. Quotient Rule2 min7.16.9. Power of a Function Rule2 min7.16.10. Implicit Differentiation7.16.11. Implicit Differentiation7.16.12. Second Derivative6 min7.16.13. Logarithmic Differentiation4 min7.16.14. Logarithmic Differentiation 7.16.15. Inverse Trigonometric Derivatives7.16.16. Tangent Lines7.16.17. Tangent Lines7.16.18. Horizontal Tangent Lines2 min7.16.19. Product Rule6 min7.16.20. Product Rule4 min7.16.21. Product Rule4 min7.16.22. Normal Line5 min
8. Chapter 12: Graphs of the Derivative
4hr8.14.1. Related Rates8.14.2. Related Rates5 min8.14.3. Related Rates5 min8.14.4. Linear Approximation4 min8.14.5. Linear Approximation8.14.6. Taylor Series from Definition7 min8.14.7. Taylor Polynomials8.14.8. Maclaurin Polynomial8.14.9. Newton's Method2 min8.14.10. Newton's Method8.14.11. L'Hopital's Rule8.14.12. L'Hopital's Rule8.14.13. L'Hopital's Rule8.14.14. Limits8.14.15. L'Hopital's Rule8.14.16. L'Hopital's Rule8.14.17. Limits8.14.18. Limits8.14.19. Extreme Value Theorem8.14.20. Rolle's Theorem1 min8.14.21. Rolle's Theorem6 min8.14.22. MVT8.14.23. MVT2 min8.14.24. MVT3 min8.14.25. MVT8.14.26. Intervals of Increase and Decrease8.14.27. Intervals of Increase and Decrease3 min8.14.28. Critical Points6 min8.14.29. Critical Points1 min8.14.30. Extrema5 min8.14.31. Extrema6 min8.14.32. Second Derivative Test10 min8.14.33. Curve Sketching8.14.34. Curve Sketching12 min8.14.35. Curve Sketching8.14.36. Optimization8.14.37. Optimization8.14.38. Optimization
9. Business Applications to Derivatives
34min10. Introduction to Integrals
2.7hr10.14.1. Antiderivatives: Indefinite Integrals10.14.2. Indefinite Integral with Trig and Inverse Trig10.14.3. Definite Integral with Trig1 min10.14.4. Integration by Substitution10.14.5. Integration by Substitution2 min10.14.6. Integration by Substitution3 min10.14.7. Integration by Substitution3 min10.14.8. Computing Integrals3 min10.14.9. Finite Sums3 min10.14.10. Finite Sums10.14.11. Finite Sums10.14.12. Riemann Sums10.14.13. Riemann Sums10.14.14. Riemann Sums10.14.15. Integral from Definition3 min10.14.16. Integral from Definition10.14.17. Definite Integral2 min10.14.18. Substitution with Definite Integral3 min10.14.19. Integration10.14.20. Definite Integral10.14.21. FTC I10.14.22. FTC I10.14.23. FTC I
11. Differential Equations
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M sc. Mathematics
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