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Grade 12 - Intro to Calculus and Vectors
Alberta High School
Course Overview
Lessons & Practice
I. Welcome
1. Review
46min2. Rate of Change
3hr- 2.I. Chapter Expectations
2.1.1. The Slope of Tangent Lines13 min2.1.2. Example: Drawing Tangent Lines8 min2.1.3. Example: Calculating Slopes of Tangents9 min2.1.4. Practice: Calculating Slopes of Tangents8 min2.1.5. Example: Equation of the Tangent Line5 min2.1.6. Practice: Equation of the Tangent Lines5 min2.1.7. Example: Slope of Tangent Line *(Tricky)7 min2.1.8. Practice: Slope of Tangent Line5 min
2.3.1. Definition of Limits7 min2.3.2. Example: Limits From Graphs9 min2.3.3. Limits Properties & Direct Substitution4 min2.3.4. Example: Evaluating Limits5 min2.3.5. Practice: Evaluating Limits42 sec2.3.6. Practice: Evaluating Limits3 min2.3.7. Example: Evaluating Limits (*Tricky*)3 min2.3.8. Practice: Evaluating Limits2 min2.3.9. Infinite Limits5 min2.3.10. Limits at Infinity3 min
2.9.1. Continuity6 min2.9.2. Example: Discontinuity8 min2.9.3. Practice: Discontinuity From Graphs2 min2.9.4. Example: Continuity of Piecewise Functions4 min2.9.5. Example: Continuity of Piecewise Functions3 min2.9.6. Practice: Continuity of Piecewise Functions3 min2.9.7. Practice: Continuous Functions4 min
3. Derivatives of Polynomials
3hr- 3.I. Chapter Expectations
3.1.1. Intro to Derivatives10 min3.1.2. Example: Differentiability4 min3.1.3. Example: Derivative of a Function at a Point5 min3.1.4. Practice: Derivative of a Function of a Point2 min3.1.5. Example: Derivative of a Function4 min3.1.6. Practice: Equation of Tangent Line3 min3.1.7. Example: Derivatives & Their Graphs4 min3.1.8. Practice: Derivatives & Their Graphs2 min3.1.9. Practice: Definition of Derivatives2 min
3.2.1. Derivative Rules for Polynomials4 min3.2.2. Example: Derivative Rules (Level 1)5 min3.2.3. Practice: Derivative Rules (Level 1)2 min3.2.4. Example: Derivative Rules (Level 2)5 min3.2.5. Practice: Derivative Rules (Level 2)5 min3.2.6. Example: Derivative Rules (Level 3)5 min3.2.7. Practice: Derivative Rule (Level 3)4 min3.2.8. Practice: Derivatives3 min3.2.9. Example: Horizontal Tangents2 min3.2.10. Practice: Normal Line5 min3.2.11. Practice: Tangent Lines6 min3.2.12. Example: Derivative of Piecewise Functions4 min
3.3.1. Product Rule & Power of a Function Rule6 min3.3.2. Practice: Product Rule3 min3.3.3. Practice: Power of a Function Rule2 min3.3.4. Example: Product & Power of a Function Rule3 min3.3.5. Practice: Product & Power of a Function Rule3 min3.3.6. Example: Product & Power of a Function Rule Application7 min3.3.7. Practice: Product & Power of a Function Rule Application4 min3.3.8. Example: Product Rule & Rational Functions2 min3.3.9. Practice: Product Rule & Rational Functions4 min3.3.10. Example: Product Rule for 3 Functions5 min3.3.11. Practice: Product Rule for 3 Functions3 min3.3.12. Practice: Product Rule (*Tricky)6 min
3.5.1. Chain Rule6 min3.5.2. Example: Chain Rule & Product Rule5 min3.5.3. Practice: Chain Rule & Quotient Rule4 min3.5.4. Example: Chain Rule & Leibniz Notation3 min3.5.5. Practice: Chain Rule & Leibniz Notation3 min3.5.6. Example: Multiple Chain Rules9 min3.5.7. Practice: Multiple Chain Rules5 min3.5.8. Example: Chain Rule (*Tricky)2 min3.5.9. Practice: Chain Rule* (*Tricky)6 min
4. Derivative Applications
1.8hr- 4.I. Chapter Expectations
4.1.1. Higher Order Derivatives6 min4.1.2. Practice: Second Derivative6 min4.1.3. Displacement, Velocity, & Acceleration9 min4.1.4. Example: Displacement, Velocity, & Acceleration8 min4.1.5. Example: Displacement, Velocity, & Acceleration Graphs7 min4.1.6. Practice: Displacement, Velocity, & Acceleration9 min
4.3.1. Optimization Problems3 min4.3.2. Example: Optimization (Rectangular Field)6 min4.3.3. Practice: Optimization (Open-topped box)7 min4.3.4. Example: Optimization (Numbers)4.3.5. Practice: Optimization (Parabola)5 min4.3.6. Practice: Optimization (Distance)4 min4.3.7. Example: Optimization (Revenue)8 min4.3.8. Practice: Optimization (Cylinder)5 min
5. Curve Sketching
4hr- 5.I. Chapter Expectations
5.3.1. Vertical Asymptotes4 min5.3.2. Example: Vertical Asymptotes11 min5.3.3. Practice: Vertical Asymptotes2 min5.3.4. Horizontal Asymptotes5 min5.3.5. Example: Horizontal Asymptotes11 min5.3.6. Practice: Horizontal Asymptotes2 min5.3.7. Practice: Vertical & Horizontal Asymptotes5 min5.3.8. Oblique (Slant) Asymptote9 min5.3.9. Practice: Asymptotes6 min5.3.10. Example: Asymptotes2 min
6. Derivatives of Exponential (& Logarithmic) Functions
1.9hr- 6.I. Chapter Expectations
6.2.1. Derivative of Exponential Functions 6 min6.2.2. Practice: Derivative of Exponential Functions 4 min6.2.3. Practice: Derivative of Exponential Functions 3 min6.2.4. Example: Derivative of Exponential Functions Application9 min6.2.5. Practice: Derivative of Exponential Functions Application4 min
6.4.1. Derivative of Exponential Functions 4 min6.4.2. Practice: Derivative of Exponential Functions 3 min6.4.3. Example: Derivative of Exponential Functions 2 min6.4.4. Practice: Derivative of Exponential Functions 5 min6.4.5. Example: Derivative of Exponential Functions Application5 min6.4.6. Example: Derivative of Exponential Functions & Differential Equations5 min
7. Derivative of Trigonometric Functions
1.1hr7.2.1. Derivative of Trigonometric Functions8 min7.2.2. Practice: Derivative of Trigonometric Functions5 min7.2.3. Example: Equation of Tangent Line5 min7.2.4. Practice: Equation of Tangent Line5 min7.2.5. Example: Higher Order Derivative3 min7.2.6. Practice: Higher Order Derivative6 min7.2.7. Practice: Derivative of Trig Functions6 min
8. Vectors
2hr- 8.I. Chapter Expectations2 min
8.1.1. What are Points, Scalars, & Vectors?2 min8.1.2. Practice: Scalar VS Vector?2 min8.1.3. 2D Vectors9 min8.1.4. Practice: 2D Vectors5 min8.1.5. Converting Between Vector Forms7 min8.1.6. Example: Converting Between Vector Forms4 min8.1.7. Practice: Cartesian Polar3 min8.1.8. Practice: Polar Cartesian3 min8.1.9. 3D Vectors3 min
8.3.1. Vector Scalar Multiplication3 min8.3.2. Vector Addition in Cartesian Form4 min8.3.3. Vector Subtraction in Cartesian Form3 min8.3.4. Practice: Vector Operations2 min8.3.5. Practice: Position Vectors3 min8.3.6. Parallelogram Rule3 min8.3.7. Example: Finding Magnitude & Direction5 min8.3.8. Practice: Finding Magnitudes4 min8.3.9. Vector Properties7 min
9. Vector Products
1.3hr10. Equations of Lines & Planes
2hr- 10.I. Chapter Expectations1 min
10.1.1. Intro to Equations of Lines2 min10.1.2. Vector, Parametric & Symmetric Equations in & 8 min10.1.3. Example: Equations of Lines in 10 min10.1.4. Practice: Equation of Lines in 6 min10.1.5. Example: Converting Equations of Lines in 5 min10.1.6. Practice: Converting Equations of Lines in & 5 min10.1.7. Example: Points on Lines in 4 min10.1.8. Cartesian (Scalar) & Normal Equations in 3 min10.1.9. Example: Equations of Lines in 9 min10.1.10. Practice: Equations of Lines in 5 min10.1.11. Practice: Converting Equations of Lines in 6 min10.1.12. Angle Between Lines7 min
10.2.1. Intro to Equations of Planes in 3 min10.2.2. Vector & Parametric Equations of Planes in 2 min10.2.3. Example: Equations of Planes in 8 min10.2.4. Practice: Equations of Planes in 3 min10.2.5. Example: Equations of Planes in 6 min10.2.6. Cartesian (Scalar) & Normal Equations of Planes in 2 min10.2.7. Example: Equations of Planes in 11 min10.2.8. Example: Equations of Planes in 4 min10.2.9. Practice: Equations of Planes in 2 min10.2.10. Practice: Converting Equations of Planes in 7 min10.2.11. Angle Between Two Planes4 min
11. Intersections of Lines & Planes
2.5hr11.1.1. Intersection of 2 Lines in & 7 min11.1.2. Example: Intersection of Lines5 min11.1.3. Practice: Intersection of Lines6 min11.1.4. Example: Intersection of Identical Lines3 min11.1.5. Example: Intersection of Parallel Lines3 min11.1.6. Example: Intersection of Skewed Lines5 min11.1.7. Practice: Intersection of lines3 min11.1.8. Practice: Intersection of lines8 min
11.3.1. Intersection of 2 Planes5 min11.3.2. Example: Intersection of 2 Parallel Planes3 min11.3.3. Practice: Intersection of 2 Parallel Planes2 min11.3.4. Example: Intersection of 2 Coincident Planes2 min11.3.5. Practice: Intersection of 2 Coincient Planes3 min11.3.6. Example: Intersection of 2 Planes (free choice for parameter)5 min11.3.7. Example: Intersection of 2 Planes (no choice for parameter)5 min11.3.8. Practice: Intersection of 2 Planes4 min11.3.9. Practice: Intersection of 2 Planes5 min
11.4.1. Intersection of 3 Planes7 min11.4.2. Example: Intersection of 3 Planes (p.o.i. = point)5 min11.4.3. Example: Intersection of 3 Planes (p.o.i. = line)5 min11.4.4. Example: Intersection of 3 Planes (p.o.i. = line)7 min11.4.5. Example: Intersection of 3 Planes (p.o.i. = plane)4 min11.4.6. Practice: Intersection of 3 Planes12 min11.4.7. Example: Intersection of 3 Planes (no p.o.i.)3 min11.4.8. Example: Intersection of 3 Planes (no p.o.i.)2 min11.4.9. Example: Intersection of 3 Planes (no p.o.i.)4 min11.4.10. Practice: Intersection of 3 Planes7 min
12. Distance Between Lines & Planes
49minGrade 12 - Intro to Calculus and Vectors Overview
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Welcome to Grade 12 - Intro to Calculus and Vectors! This on-demand course was put together especially for Grade 12 - Intro to Calculus and Vectors at Alberta High School. 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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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.