MATH 1X03
Mac
Course Overview
Lessons & Practice
I. Welcome
1. Limits, continuity, derivatives
1.8hr1.14.1. One-sided Limits1.14.2. Limits1.14.3. Special Limits1.14.4. Limits1.14.5. Limits1.14.6. Limits1.14.7. Limits1.14.8. Limits1.14.9. Limits1.14.10. Limits: Indeterminate forms1.14.11. Limits1.14.12. IVT1.14.13. IVT1.14.14. IVT1.14.15. Fundamental Trig Limit1.14.16. Fundamental Trig Limit1.14.17. Squeeze Theorem1.14.18. Squeeze Theorem1.14.19. Squeeze Theorem1.14.20. Continuity
2. Using the derivative
5hr2.30.1. Derivative by Definition2.30.2. Basic Derivatives2.30.3. Basic Derivatives2.30.4. Derivative by Definition2.30.5. Chain Rule2.30.6. Chain Rule2.30.7. Quotient Rule2.30.8. Quotient Rule2.30.9. Power of a Function Rule2.30.10. Implicit Differentiation2.30.11. Implicit Differentiation2.30.12. Second Derivative2.30.13. Logarithmic Differentiation2.30.14. Logarithmic Differentiation 2.30.15. Inverse Trigonometric Derivatives2.30.16. Tangent Lines2.30.17. Tangent Lines2.30.18. Horizontal Tangent Lines2.30.19. Product Rule2.30.20. Product Rule2.30.21. Product Rule2.30.22. Normal Line
3. The (definite) integral
2.7hr3.15.1. Antiderivatives: Indefinite Integrals3.15.2. Indefinite Integral with Trig and Inverse Trig3.15.3. Definite Integral with Trig3.15.4. Integration by Substitution3.15.5. Integration by Substitution3.15.6. Integration by Substitution3.15.7. Integration by Substitution3.15.8. Computing Integrals3.15.9. Finite Sums3.15.10. Finite Sums3.15.11. Finite Sums3.15.12. Riemann Sums3.15.13. Riemann Sums3.15.14. Riemann Sums3.15.15. Integral from Definition3.15.16. Integral from Definition3.15.17. Definite Integral3.15.18. Substitution with Definite Integral3.15.19. Integration3.15.20. Definite Integral3.15.21. FTC I3.15.22. FTC I3.15.23. FTC I
4. Integration techniques and applications
1.8hr4.8.1. Displacement, Velocity, and Acceleration4.8.2. Position, Velocity and Acceleration 4.8.3. Position, Velocity and Acceleration 4.8.4. Average Value of a Function4.8.5. Average Value of a Function4.8.6. Average Function Value of a Function4.8.7. Area Between Curves4.8.8. Area Between Curves4.8.9. Area Between Curves4.8.10. Area Between Curves4.8.11. Volumes of Revolution, Cylindrical Shells4.8.12. Volumes of Revolution, Disc/Washer4.8.13. Volumes of Revolution, Cylindrical Shells4.8.14. Volumes of Revolution4.8.15. Arc Length4.8.16. Arc Length4.8.17. Arc Length with Partial Fractions4.8.18. Arc Length with Perfect Square4.8.19. Surface Area4.8.20. Surface Area
5. Differential Equations
1.2hrMock Exam
I 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
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 
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)
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.