MA100
Laurier
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
1.9hr1.3.1. Completing the Square ()1.3.2. Example1.3.3. Practice Level 11.3.4. Practice Level 21.3.5. Practice Level 31.3.6. Extra Completing the Square Practice Drill 💪1.3.7. Completing the Square ()1.3.8. Example1.3.9. Practice Level 11.3.10. Practice Level 21.3.11. Practice Level 31.3.12. Extra Completing the Square Practice Drill 💪
2. Exponents
1.5hr3. Quadratic Equations & Complex Numbers
55min4. Analytical Geometry
5. Circles
1.6hr6. Parallel and Perpendicular lines
21min7. Relations and Functions
1hr8. Introduction to Functions
52min9. Further Topics in Function
23min10. Exponential & Logarithmic Functions
37min11. Foundation of Trigonometry
37min12. Limits
1hr12.6.1. One-sided Limits12.6.2. Limits12.6.3. Special Limits12.6.4. Limits12.6.5. Limits12.6.6. Limits12.6.7. Limits12.6.8. Limits12.6.9. Limits12.6.10. Limits: Indeterminate forms12.6.11. Limits12.6.12. IVT12.6.13. IVT12.6.14. IVT12.6.15. Fundamental Trig Limit12.6.16. Fundamental Trig Limit12.6.17. Squeeze Theorem12.6.18. Squeeze Theorem12.6.19. Squeeze Theorem12.6.20. Continuity
13. Differentiation
3hr13.20.1. Derivative by Definition13.20.2. Basic Derivatives13.20.3. Basic Derivatives13.20.4. Derivative by Definition13.20.5. Chain Rule13.20.6. Chain Rule13.20.7. Quotient Rule13.20.8. Quotient Rule13.20.9. Power of a Function Rule13.20.10. Implicit Differentiation13.20.11. Implicit Differentiation13.20.12. Second Derivative13.20.13. Logarithmic Differentiation13.20.14. Logarithmic Differentiation 13.20.15. Inverse Trigonometric Derivatives13.20.16. Tangent Lines13.20.17. Tangent Lines13.20.18. Horizontal Tangent Lines13.20.19. Product Rule13.20.20. Product Rule13.20.21. Product Rule13.20.22. Normal Line
14. Applications of Differentiation
3hr14.6.1. Vertical Asymptotes14.6.2. Example: Vertical Asymptotes14.6.3. Practice: Vertical Asymptotes14.6.4. Horizontal Asymptotes14.6.5. Example: Horizontal Asymptotes14.6.6. Practice: Horizontal Asymptotes14.6.7. Practice: Vertical & Horizontal Asymptotes14.6.8. Oblique (Slant) Asymptote14.6.9. Practice: Asymptotes14.6.10. Example: Asymptotes
14.7.1. Related Rates14.7.2. Related Rates14.7.3. Related Rates14.7.4. Linear Approximation14.7.5. Linear Approximation14.7.6. Taylor Series from Definition14.7.7. Taylor Polynomials14.7.8. Maclaurin Polynomial14.7.9. Newton's Method14.7.10. Newton's Method14.7.11. L'Hopital's Rule14.7.12. L'Hopital's Rule14.7.13. L'Hopital's Rule14.7.14. Limits14.7.15. L'Hopital's Rule14.7.16. L'Hopital's Rule14.7.17. Limits14.7.18. Limits14.7.19. Extreme Value Theorem14.7.20. Rolle's Theorem14.7.21. Rolle's Theorem14.7.22. MVT14.7.23. MVT14.7.24. MVT14.7.25. MVT14.7.26. Intervals of Increase and Decrease14.7.27. Intervals of Increase and Decrease14.7.28. Critical Points14.7.29. Critical Points14.7.30. Extrema14.7.31. Extrema14.7.32. Second Derivative Test14.7.33. Curve Sketching14.7.34. Curve Sketching14.7.35. Curve Sketching14.7.36. Optimization14.7.37. Optimization14.7.38. Optimization
15. Integrals
1.6hr15.7.1. Antiderivatives: Indefinite Integrals15.7.2. Indefinite Integral with Trig and Inverse Trig15.7.3. Definite Integral with Trig15.7.4. Integration by Substitution15.7.5. Integration by Substitution15.7.6. Integration by Substitution15.7.7. Integration by Substitution15.7.8. Computing Integrals15.7.9. Finite Sums15.7.10. Finite Sums15.7.11. Finite Sums15.7.12. Riemann Sums15.7.13. Riemann Sums15.7.14. Riemann Sums15.7.15. Integral from Definition15.7.16. Integral from Definition15.7.17. Definite Integral15.7.18. Substitution with Definite Integral15.7.19. Integration15.7.20. Definite Integral15.7.21. FTC I15.7.22. FTC I15.7.23. FTC I
16. Angles
34min17. Differential Equations
1.2hrI Welcome
Free Activity
Welcome to Calculus!
My name is Corey and I'm the instructor for this course. Feel free to go through this course at your own pace.
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Happy Studying!
Answered
Anonymous
What are the conecpts to focus on for midterm 1 at western
C
Corey M
InstructorLikely limits and differentiation techniques through the chain rule, but double-check with your instructor to see exactly what will be covered.
Unanswered
L
Layan E
Use the Intermediate Value Theorem to show that thereis a root of the given equation in the specified interval.Use the Intermediate Value Theorem to show that thereis a root of the given equation in the specified interval.
sin(x)=x2−x, x∈(1,2)
C
Corey M
InstructorWhile this isn't quite the place for this question (please refer to the IVT section in the course), and we can't really just solve random problems for you, I can give you a bit of a hint: You could try moving everything to one side of the equation and treating it like a function, and then see if you can't find function values within your specified range that return a positive value and a negative value (another hint: try the endpoints of your interval first). If you're able to do that, then the IVT tells us that there should exist a function input between those two points that returns 0 or, in other words, that is a root.