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MATH 1ZA3
Mac
Course Overview
Grade Boosters
Lessons & Practice
I. Welcome
1. Functions/Pre-Calculus (Review)
4hr2. Limits & Continuity
1.8hr2.14.1. One-sided Limits2.14.2. Limits2.14.3. Special Limits4 min2.14.4. Limits2.14.5. Limits2.14.6. Limits2.14.7. Limits2.14.8. Limits2.14.9. Limits2.14.10. Limits: Indeterminate forms2.14.11. Limits3 min2.14.12. IVT2.14.13. IVT2.14.14. IVT5 min2.14.15. Fundamental Trig Limit5 min2.14.16. Fundamental Trig Limit3 min2.14.17. Squeeze Theorem1 min2.14.18. Squeeze Theorem4 min2.14.19. Squeeze Theorem2.14.20. Continuity
3. Derivatives
2.9hr3.21.1. Derivative by Definition3.21.2. Basic Derivatives3.21.3. Basic Derivatives1 min3.21.4. Derivative by Definition3.21.5. Chain Rule3.21.6. Chain Rule3.21.7. Quotient Rule10 min3.21.8. Quotient Rule2 min3.21.9. Power of a Function Rule2 min3.21.10. Implicit Differentiation3.21.11. Implicit Differentiation3.21.12. Second Derivative6 min3.21.13. Logarithmic Differentiation4 min3.21.14. Logarithmic Differentiation 3.21.15. Inverse Trigonometric Derivatives3.21.16. Tangent Lines3.21.17. Tangent Lines3.21.18. Horizontal Tangent Lines2 min3.21.19. Product Rule6 min3.21.20. Product Rule4 min3.21.21. Product Rule4 min3.21.22. Normal Line5 min
4. Applications of Differentiation
4hr4.17.1. Related Rates4.17.2. Related Rates5 min4.17.3. Related Rates5 min4.17.4. Linear Approximation4 min4.17.5. Linear Approximation4.17.6. Newton's Method2 min4.17.7. Newton's Method4.17.8. L'Hopital's Rule4.17.9. L'Hopital's Rule4.17.10. L'Hopital's Rule4.17.11. Limits4.17.12. L'Hopital's Rule4.17.13. L'Hopital's Rule4.17.14. Limits4.17.15. Limits4.17.16. Extreme Value Theorem4.17.17. Rolle's Theorem1 min4.17.18. Rolle's Theorem6 min4.17.19. MVT4.17.20. MVT2 min4.17.21. MVT3 min4.17.22. MVT4.17.23. Intervals of Increase and Decrease4.17.24. Intervals of Increase and Decrease3 min4.17.25. Critical Points6 min4.17.26. Critical Points1 min4.17.27. Extrema5 min4.17.28. Extrema6 min4.17.29. Second Derivative Test10 min4.17.30. Curve Sketching4.17.31. Curve Sketching12 min4.17.32. Curve Sketching4.17.33. Optimization4.17.34. Optimization4.17.35. Optimization
5. Integrals
2.9hr5.17.1. Antiderivatives: Indefinite Integrals5.17.2. Indefinite Integral with Trig and Inverse Trig5.17.3. Definite Integral with Trig1 min5.17.4. Integration by Substitution5.17.5. Integration by Substitution2 min5.17.6. Integration by Substitution3 min5.17.7. Integration by Substitution3 min5.17.8. Computing Integrals3 min5.17.9. Finite Sums3 min5.17.10. Finite Sums5.17.11. Finite Sums5.17.12. Riemann Sums5.17.13. Riemann Sums5.17.14. Riemann Sums5.17.15. Integral from Definition3 min5.17.16. Integral from Definition5.17.17. Definite Integral2 min5.17.18. Substitution with Definite Integral3 min5.17.19. Integration5.17.20. Definite Integral5.17.21. FTC I5.17.22. FTC I5.17.23. FTC I
6. Integration Techniques
2.1hr6.6.1. Integration by Parts2 min6.6.2. Integration by Parts6.6.3. Integration by Parts6.6.4. Integration by Parts6.6.5. Integration by Parts6.6.6. Trigonometric Integral3 min6.6.7. Trigonometric Integral6.6.8. Trigonometric Integral with IBP5 min6.6.9. Trigonometric Substitution5 min6.6.10. Trigonometric Substitution6 min6.6.11. Trigonometric Substitution8 min6.6.12. Partial Fraction Decomposition8 min6.6.13. Partial Fraction Decomposition24 min6.6.14. Partial Fraction Decomposition4 min6.6.15. The Trapezoid Rule6.6.16. The Trapezoid Rule2 min6.6.17. Simpson's Rule
7. Applications of Integration
59min- 7.I. Chapter Intro23 sec
7.5.1. Displacement, Velocity, and Acceleration3 min7.5.2. Position, Velocity and Acceleration 2 min7.5.3. Position, Velocity and Acceleration 3 min7.5.4. Average Value of a Function2 min7.5.5. Average Value of a Function7.5.6. Average Function Value of a Function1 min7.5.7. Area Between Curves7.5.8. Area Between Curves4 min7.5.9. Area Between Curves7.5.10. Area Between Curves7.5.11. Volumes of Revolution, Cylindrical Shells7.5.12. Volumes of Revolution, Disc/Washer4 min7.5.13. Volumes of Revolution, Cylindrical Shells7.5.14. Volumes of Revolution9 min
MATH 1ZA3 Overview
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Welcome to MATH 1ZA3! This on-demand course was put together especially for MATH 1ZA3 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!
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Corey 4.9
BS, MA Mathematics
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Course Notes
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