Welcome to MATH 1225! This on-demand course was put together especially for MATH 1225 at VT. 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 1225
VT
Course Overview
Lessons & Practice
I. Welcome
1. Limits and Derivatives
2hr1.15.1. One-sided Limits1.15.2. Limits1.15.3. Special Limits4 min1.15.4. Limits1.15.5. Limits1.15.6. Limits1.15.7. Limits1.15.8. Limits1.15.9. Limits1.15.10. Limits: Indeterminate forms1.15.11. Limits3 min1.15.12. IVT1.15.13. IVT1.15.14. IVT5 min1.15.15. Fundamental Trig Limit5 min1.15.16. Fundamental Trig Limit3 min1.15.17. Squeeze Theorem1 min1.15.18. Squeeze Theorem4 min1.15.19. Squeeze Theorem1.15.20. Continuity
2. Differentiation Rules
1.8hr2.10.1. Derivative by Definition2.10.2. Basic Derivatives2.10.3. Basic Derivatives1 min2.10.4. Derivative by Definition2.10.5. Chain Rule2.10.6. Chain Rule2.10.7. Quotient Rule10 min2.10.8. Quotient Rule2 min2.10.9. Power of a Function Rule2 min2.10.10. Implicit Differentiation2.10.11. Implicit Differentiation2.10.12. Second Derivative6 min2.10.13. Logarithmic Differentiation4 min2.10.14. Logarithmic Differentiation 2.10.15. Inverse Trigonometric Derivatives2.10.16. Tangent Lines2.10.17. Tangent Lines2.10.18. Horizontal Tangent Lines2 min2.10.19. Product Rule6 min2.10.20. Product Rule4 min2.10.21. Product Rule4 min2.10.22. Normal Line5 min
3. Applications of Differentiation
3hr3.12.1. Related Rates3.12.2. Related Rates5 min3.12.3. Related Rates5 min3.12.4. Linear Approximation4 min3.12.5. Linear Approximation3.12.6. Taylor Series from Definition7 min3.12.7. Taylor Polynomials3.12.8. Maclaurin Polynomial3.12.9. Newton's Method2 min3.12.10. 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 Theorem1 min3.12.21. Rolle's Theorem6 min3.12.22. MVT3.12.23. MVT2 min3.12.24. MVT3 min3.12.25. MVT3.12.26. Intervals of Increase and Decrease3.12.27. Intervals of Increase and Decrease3 min3.12.28. Critical Points6 min3.12.29. Critical Points1 min3.12.30. Extrema5 min3.12.31. Extrema6 min3.12.32. Second Derivative Test10 min3.12.33. Curve Sketching3.12.34. Curve Sketching12 min3.12.35. 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 Trig1 min4.16.4. Integration by Substitution4.16.5. Integration by Substitution2 min4.16.6. Integration by Substitution3 min4.16.7. Integration by Substitution3 min4.16.8. Computing Integrals3 min4.16.9. Finite Sums3 min4.16.10. Finite Sums4.16.11. Finite Sums4.16.12. Riemann Sums4.16.13. Riemann Sums4.16.14. Riemann Sums4.16.15. Integral from Definition3 min4.16.16. Integral from Definition4.16.17. Definite Integral2 min4.16.18. Substitution with Definite Integral3 min4.16.19. Integration4.16.20. Definite Integral4.16.21. FTC I4.16.22. FTC I4.16.23. FTC I
5. Differential Equations
1.2hrMATH 1225 Overview
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Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.