MA100
Wilfrid Laurier University
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
1.9hr1.3.1. Completing the Square ()4 min1.3.2. Example4 min1.3.3. Practice Level 15 min1.3.4. Practice Level 25 min1.3.5. Practice Level 34 min1.3.6. Extra Completing the Square Practice Drill 💪1.3.7. Completing the Square ()3 min1.3.8. Example4 min1.3.9. Practice Level 14 min1.3.10. Practice Level 25 min1.3.11. Practice Level 37 min1.3.12. 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 Limits4 min12.6.4. Limits12.6.5. Limits12.6.6. Limits12.6.7. Limits12.6.8. Limits12.6.9. Limits12.6.10. Limits: Indeterminate forms12.6.11. Limits3 min12.6.12. IVT12.6.13. IVT12.6.14. IVT5 min12.6.15. Fundamental Trig Limit5 min12.6.16. Fundamental Trig Limit3 min12.6.17. Squeeze Theorem1 min12.6.18. Squeeze Theorem4 min12.6.19. Squeeze Theorem12.6.20. Continuity
13. Differentiation
3hr13.20.1. Derivative by Definition13.20.2. Basic Derivatives13.20.3. Basic Derivatives1 min13.20.4. Derivative by Definition13.20.5. Chain Rule13.20.6. Chain Rule13.20.7. Quotient Rule10 min13.20.8. Quotient Rule2 min13.20.9. Power of a Function Rule2 min13.20.10. Implicit Differentiation13.20.11. Implicit Differentiation13.20.12. Second Derivative6 min13.20.13. Logarithmic Differentiation4 min13.20.14. Logarithmic Differentiation 13.20.15. Inverse Trigonometric Derivatives13.20.16. Tangent Lines13.20.17. Tangent Lines13.20.18. Horizontal Tangent Lines2 min13.20.19. Product Rule6 min13.20.20. Product Rule4 min13.20.21. Product Rule4 min13.20.22. Normal Line5 min
14. Applications of Differentiation
3hr14.6.1. Vertical Asymptotes4 min14.6.2. Example: Vertical Asymptotes11 min14.6.3. Practice: Vertical Asymptotes2 min14.6.4. Horizontal Asymptotes5 min14.6.5. Example: Horizontal Asymptotes11 min14.6.6. Practice: Horizontal Asymptotes2 min14.6.7. Practice: Vertical & Horizontal Asymptotes5 min14.6.8. Oblique (Slant) Asymptote9 min14.6.9. Practice: Asymptotes6 min14.6.10. Example: Asymptotes2 min
14.7.1. Related Rates14.7.2. Related Rates5 min14.7.3. Related Rates5 min14.7.4. Linear Approximation4 min14.7.5. Linear Approximation14.7.6. Taylor Series from Definition7 min14.7.7. Taylor Polynomials14.7.8. Maclaurin Polynomial14.7.9. Newton's Method2 min14.7.10. 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 Theorem1 min14.7.21. Rolle's Theorem6 min14.7.22. MVT14.7.23. MVT2 min14.7.24. MVT3 min14.7.25. MVT14.7.26. Intervals of Increase and Decrease14.7.27. Intervals of Increase and Decrease3 min14.7.28. Critical Points6 min14.7.29. Critical Points1 min14.7.30. Extrema5 min14.7.31. Extrema6 min14.7.32. Second Derivative Test10 min14.7.33. Curve Sketching14.7.34. Curve Sketching12 min14.7.35. 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 Trig1 min15.7.4. Integration by Substitution15.7.5. Integration by Substitution2 min15.7.6. Integration by Substitution3 min15.7.7. Integration by Substitution3 min15.7.8. Computing Integrals3 min15.7.9. Finite Sums3 min15.7.10. Finite Sums15.7.11. Finite Sums15.7.12. Riemann Sums15.7.13. Riemann Sums15.7.14. Riemann Sums15.7.15. Integral from Definition3 min15.7.16. Integral from Definition15.7.17. Definite Integral2 min15.7.18. Substitution with Definite Integral3 min15.7.19. 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 Integral 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
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.