MATH 1225
VT
Course Overview
Lessons & Practice
I. Welcome
1. Limits and Derivatives
2hr1.15.1. One-sided Limits1.15.2. Limits1.15.3. Special Limits1.15.4. Limits1.15.5. Limits1.15.6. Limits1.15.7. Limits1.15.8. Limits1.15.9. Limits1.15.10. Limits: Indeterminate forms1.15.11. Limits1.15.12. IVT1.15.13. IVT1.15.14. IVT1.15.15. Fundamental Trig Limit1.15.16. Fundamental Trig Limit1.15.17. Squeeze Theorem1.15.18. Squeeze Theorem1.15.19. Squeeze Theorem1.15.20. Continuity
2. Differentiation Rules
1.8hr2.10.1. Derivative by Definition2.10.2. Basic Derivatives2.10.3. Basic Derivatives2.10.4. Derivative by Definition2.10.5. Chain Rule2.10.6. Chain Rule2.10.7. Quotient Rule2.10.8. Quotient Rule2.10.9. Power of a Function Rule2.10.10. Implicit Differentiation2.10.11. Implicit Differentiation2.10.12. Second Derivative2.10.13. Logarithmic Differentiation2.10.14. Logarithmic Differentiation 2.10.15. Inverse Trigonometric Derivatives2.10.16. Tangent Lines2.10.17. Tangent Lines2.10.18. Horizontal Tangent Lines2.10.19. Product Rule2.10.20. Product Rule2.10.21. Product Rule2.10.22. Normal Line
3. Applications of Differentiation
3hr3.12.1. Related Rates3.12.2. Related Rates3.12.3. Related Rates3.12.4. Linear Approximation3.12.5. Linear Approximation3.12.6. Taylor Series from Definition3.12.7. Taylor Polynomials3.12.8. Maclaurin Polynomial3.12.9. Newton's Method3.12.10. Newton's Method3.12.11. L'Hopital's Rule3.12.12. L'Hopital's Rule3.12.13. L'Hopital's Rule3.12.14. Limits3.12.15. L'Hopital's Rule3.12.16. L'Hopital's Rule3.12.17. Limits3.12.18. Limits3.12.19. Extreme Value Theorem3.12.20. Rolle's Theorem3.12.21. Rolle's Theorem3.12.22. MVT3.12.23. MVT3.12.24. MVT3.12.25. MVT3.12.26. Intervals of Increase and Decrease3.12.27. Intervals of Increase and Decrease3.12.28. Critical Points3.12.29. Critical Points3.12.30. Extrema3.12.31. Extrema3.12.32. Second Derivative Test3.12.33. Curve Sketching3.12.34. Curve Sketching3.12.35. Curve Sketching3.12.36. Optimization3.12.37. Optimization3.12.38. Optimization
4. Integrals
2.8hr4.16.1. Antiderivatives: Indefinite Integrals4.16.2. Indefinite Integral with Trig and Inverse Trig4.16.3. Definite Integral with Trig4.16.4. Integration by Substitution4.16.5. Integration by Substitution4.16.6. Integration by Substitution4.16.7. Integration by Substitution4.16.8. Computing Integrals4.16.9. Finite Sums4.16.10. Finite Sums4.16.11. Finite Sums4.16.12. Riemann Sums4.16.13. Riemann Sums4.16.14. Riemann Sums4.16.15. Integral from Definition4.16.16. Integral from Definition4.16.17. Definite Integral4.16.18. Substitution with Definite Integral4.16.19. Integration4.16.20. Definite Integral4.16.21. FTC I4.16.22. FTC I4.16.23. FTC I
5. 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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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.