Welcome to MATH 1X03! This on-demand course was put together especially for MATH 1X03 at Mac. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
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
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