MATH 150
Texas A&M
Course Overview
Lessons & Practice
I. Welcome
1. Linear Equations and Inequalities
2.4hr2. Radicals and Exponents
2.6hr3. Factoring Polynomials
4hr4. Rational Expressions
1hr5. Complex Numbers [Coming Soon!]
6. Functions
1.5hr7. Transformations of Functions
1.3hr8. Quadratic Functions
5hr9. Polynomial Functions
2.7hr10. Rational Functions
1.7hr11. Operations with Functions
11min12. Exponential Functions
1.8hr13. Logarithmic Functions
34min14. Trigonometry
1.3hr15. Trigonometric Ratios (Radians)
53min16. Trigonometric (Sinusoidal) Graphs
42min17. Trigonometric Identities & Proofs
1hr18. Trigonometric Equations
22min19. Vectors
2.6hr- 19.I. Chapter Expectations2 min
19.1.1. What are Points, Scalars, & Vectors?2 min19.1.2. Practice: Scalar VS Vector?2 min19.1.3. 2D Vectors9 min19.1.4. Practice: 2D Vectors5 min19.1.5. Converting Between Vector Forms7 min19.1.6. Example: Converting Between Vector Forms4 min19.1.7. Practice: Cartesian Polar3 min19.1.8. Practice: Polar Cartesian3 min19.1.9. 3D Vectors3 min
19.3.1. Vector Scalar Multiplication3 min19.3.2. Vector Addition in Cartesian Form4 min19.3.3. Vector Subtraction in Cartesian Form3 min19.3.4. Practice: Vector Operations2 min19.3.5. Practice: Position Vectors3 min19.3.6. Parallelogram Rule3 min19.3.7. Example: Finding Magnitude & Direction5 min19.3.8. Practice: Finding Magnitudes4 min19.3.9. Vector Properties7 min
19.5.1. Dot Product5 min19.5.2. Example: Angle Between Vectors4 min19.5.3. Practice: Dot Product2 min19.5.4. Dot Product Properties3 min19.5.5. Practice: Dot Product Properties3 min19.5.6. Dot Product Application: Projections7 min19.5.7. Practice: Projection4 min19.5.8. Dot Product Application: Work5 min19.5.9. Example: Work5 min
20. Systems of Linear Equations
2hrI Welcome
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Welcome to Calculus & Vectors!
My name is Jess and I'm the instructor for this course.
Feel free to go through this course at your own pace
- Use the table of contents 📃 on the left to skip to parts you need help with
- Watch the video ▶ or read the written lessons 📖
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Recommended Study Schedule (Each day is ~40-60 minutes)
Chapter 1 - Review
- Day 1 - Allow yourself about a day to complete this review chapter
Chapter 2 - Rate of Change & Limits
- Day 2 - 2.1 The Slope of Tangent Lines
- Day 2 - 2.1 The Slope of Tangent Lines
- Day 4 - 2.2 Rates of Change
- Day 5 - 2.3 Limits
- Day 6 - 2.4 to 2.6 (Evaluating limits of the form by factoring and simplifying radicals)
- Day 7 - 2.7 to 2.8 (Evaluating limits of the form by simplifying absolute values and substitution)
- Day 8 - Continuity
Chapter 3 - Derivatives of Polynomials
- Day 9 - 3.1 Intro to Derivatives & Differentiability
- Day 10 - 3.2 Derivative Rules
- Day 11 - 3.2 Derivative Rules
- Day 12 - 3.3 Product Rule
- Day 13 - 3.3 Product Rule
- Day 14 - 3.4 Quotient Rule
- Day 15 - 3.5 Chain Rule
- Day 16 - 3.5 Chain Rule
Chapter 4 - Derivative Application
- Day 17 - 4.1 HIgher Order Derivative
- Day 18 - 4.2 Max & Min on a Closed Interval
- Day 19 - 4.3 Optimization Problems
- Day 20 - 4.3 Optimization Problems
Chapter 5 - Curve Sketching
- Day 21 - 5.1 Increasing & Decreasing Intervals
- Day 22 - 5.2 Critical Points & Local Max/Min
- Day 23 - 5.3 Inflection Points & Concavity
- Day 24 - 5.4 Asymptotes
- Day 25 - 5.5 Curve Sketching
Chapter 6 - Derivative of Exponential & Logarithmic Functions
- Day 26 - 6.1 & 6.2 Review and Derivative of Exponential Functions
- Day 27 - 6.3 & 6.4 Review and Derivative of Exponential Functions
- Day 28 - 6.5 Optimization Problems
Chapter 7: Derivative of Trig Functions
- Day 29 - 7.1 & 7.2 Review and Derivative of Trig Functions
- Day 30 - 7.3 Optimization Problems
Chapter 8: Vectors
- Day 31 - 8.1 Introduction to Vectors
- Day 32 - 8.2 Magnitude of a Vector + 8.3 Vector Operations
- Day 33 - 8.4 Vector Application
Chapter 9: Vector Products
- Day 34 - 9.1 & 9.2 Dot Product and Applications
- Day 35 - 9.3 & 9.4 Cross Product and Applications
Chapter 10 - Equations of Lines & Planes
- Day 36 - 10.1 Equations of a Line in R2 & R3 (10.1.1 - 10.1.7)
- Day 37 - 10.1 Equations of a Line in R2 & R3 (10.1.8 - 10.1.12)
- Day 38 - 10.2 Equations of Planes in R3 (10.2.1 - 10.2.5)
- Day 39 - 10.2 Equations of Planes in R3 (10.2.6 - 10.2.11)
Chapter 11 - Intersection of Lines & Planes
- Day 40 - 11.1 Intersection of 2 Lines
- Day 41 - 11.2 Intersection of a Line & Plane
- Day 42 - 11.3 Intersection of 2 Planes
- Day 43 - 11.4 Intersection of 3 Planes
Chapter 12 - Distance Between Lines & Planes
- Day 44 - 12.1 Distance from a Point to a Line in and 12.2 Distance from a Point to a Plane in
- Day 45 - 12.3 Distance from a Point to a Line in