Welcome to APSC 171! This on-demand course was put together especially for APSC 171 at Queen's. 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!
APSC 171
Queen's
Course Overview
Grade Boosters
Lessons & Practice
I. Welcome
1. Derivatives
3hr1.1.1. Basic Differentiation Rules7 min1.1.2. Example: Derivative of a polynomial6 min1.1.3. Derivatives of Exponential and Trigonometric Functions5 min1.1.4. Example: Differentiating more complex functions7 min1.1.5. Practice: Differentiating functions 13 min1.1.6. Practice: Differentiating functions 22 min
2. Vector-Valued Functions
2.9hr2.3.1. Parametric Curves in 3D2 min2.3.2. Graphing Planar Curves and Space Curves6 min2.3.3. Eliminating Parameters3 min2.3.4. Example: Sketching two-dimensional vector-valued functions7 min2.3.5. Example: Eliminating a parameter6 min2.3.6. Example: Parallel vectors8 min2.3.7. Practice: Graphing a Vector-Valued Function15 min2.3.8. Practice: Determining Vector-Valued Functions with conditions12 min
2.4.1. Inverse Functions7 min2.4.2. Inverse Trigonometric Functions13 min2.4.3. Example: Computing inverse trigonometric functions of numbers4 min2.4.4. Example: Computing inverses of the same trigonometric function10 min2.4.5. Example: Computing trigonometric functions of different inverse trigonometric functions.5 min2.4.6. Practice: Inverse Trigonometric Functions 12 min2.4.7. Practice: Inverse Trigonometric Functions 210 min
3. Derivatives of Vector Valued Functions
2hr3.2.1. Equations of Lines in 6 min3.2.2. Example: Equations of Lines in 8 min3.2.3. Practice: Equations of Lines in 3.2.4. Equations of Planes in 7 min3.2.5. Example: Equations of Planes in 5 min3.2.6. Practice: Equations of Planes in 3.2.7. Distance Between a Point and a Plane4 min3.2.8. Example: Distance Between a Point and a Plane7 min3.2.9. Practice: Distance Between a Point and a Plane3.2.10. Distance Between a Point and a Line5 min3.2.11. Example: Distance Between a Point and a Line8 min3.2.12. Practice: Distance Between a Point and a Line3.2.13. Closest Point on a Plane8 min
3.3.1. Norm of a Vector7 min3.3.2. Example: Norm of a Vector6 min3.3.3. Practice: Norm of a Vector3.3.4. Dot Product5 min3.3.5. Example: Dot product5 min3.3.6. Properties of the Dot Product5 min3.3.7. Example: Properties of the Dot Product8 min3.3.8. Practice: Properties of the Dot Product3.3.9. Projections6 min3.3.10. Example: Projections6 min3.3.11. Practice: Projections3.3.12. Practice: Projections3.3.13. Practice: Projections
4. Applications of Differentiation
1.2hr5. Integrals
1hr6. Integration Techniques
47min7. Applications of Integration
48min8. Differential Equations
1.5hr9. Complex Numbers
1.4hrAPSC 171 Overview
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Course Notes
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Mock Exams
On-Demand Mock Exams
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On-Demand Exam Detailed Solutions
Test 1 - Mock Assessment
19 Questions, ~1.3 hours
Test 2 - Mock Assessment
10 Questions, ~33 minutes
Final Exam - Mock Assessment
39 Questions, ~2.2 hours
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.