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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 Limits4 min1.14.4. Limits1.14.5. Limits1.14.6. Limits1.14.7. Limits1.14.8. Limits1.14.9. Limits1.14.10. Limits: Indeterminate forms1.14.11. Limits3 min1.14.12. IVT1.14.13. IVT1.14.14. IVT5 min1.14.15. Fundamental Trig Limit5 min1.14.16. Fundamental Trig Limit3 min1.14.17. Squeeze Theorem1 min1.14.18. Squeeze Theorem4 min1.14.19. Squeeze Theorem1.14.20. Continuity
2. Using the derivative
5hr2.30.1. Derivative by Definition2.30.2. Basic Derivatives2.30.3. Basic Derivatives1 min2.30.4. Derivative by Definition2.30.5. Chain Rule2.30.6. Chain Rule2.30.7. Quotient Rule10 min2.30.8. Quotient Rule2 min2.30.9. Power of a Function Rule2 min2.30.10. Implicit Differentiation2.30.11. Implicit Differentiation2.30.12. Second Derivative6 min2.30.13. Logarithmic Differentiation4 min2.30.14. Logarithmic Differentiation 2.30.15. Inverse Trigonometric Derivatives2.30.16. Tangent Lines2.30.17. Tangent Lines2.30.18. Horizontal Tangent Lines2 min2.30.19. Product Rule6 min2.30.20. Product Rule4 min2.30.21. Product Rule4 min2.30.22. Normal Line5 min
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 Trig1 min3.15.4. Integration by Substitution3.15.5. Integration by Substitution2 min3.15.6. Integration by Substitution3 min3.15.7. Integration by Substitution3 min3.15.8. Computing Integrals3 min3.15.9. Finite Sums3 min3.15.10. Finite Sums3.15.11. Finite Sums3.15.12. Riemann Sums3.15.13. Riemann Sums3.15.14. Riemann Sums3.15.15. Integral from Definition3 min3.15.16. Integral from Definition3.15.17. Definite Integral2 min3.15.18. Substitution with Definite Integral3 min3.15.19. 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 Acceleration3 min4.8.2. Position, Velocity and Acceleration 2 min4.8.3. Position, Velocity and Acceleration 3 min4.8.4. Average Value of a Function2 min4.8.5. Average Value of a Function4.8.6. Average Function Value of a Function1 min4.8.7. Area Between Curves4.8.8. Area Between Curves4 min4.8.9. Area Between Curves4.8.10. Area Between Curves4.8.11. Volumes of Revolution, Cylindrical Shells4.8.12. Volumes of Revolution, Disc/Washer4 min4.8.13. Volumes of Revolution, Cylindrical Shells4.8.14. Volumes of Revolution9 min4.8.15. Arc Length4 min4.8.16. Arc Length4 min4.8.17. Arc Length with Partial Fractions7 min4.8.18. Arc Length with Perfect Square4 min4.8.19. Surface Area6 min4.8.20. Surface Area5 min
5. Differential Equations
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