Calculus (Sci.)
Dobson Files
by Norman Dobson, edited by Thomas Gideon
(Thanks to Daniel Gatien for proofreading.)
These exercises were given by the late Norman Dobson under the title “Final Exam Problems.” They are excellent problems in preparation for examinations. I have used them with students in the past and have found that industrious students improve their performance by doing these problems.
– Thomas Gideon
Calculus Materials by Robert Seely
A collection of notes, exercise sets (practice tests), and old exams (going back to the mid 1990s), for Cal I, II, and III (Science). Also includes links to other notes and useful info.
Calculus II Exercises by Annette Clark
These exercises were given by Annette Clark, who taught at John Abbott College from 1973 to 2006. (Exercises typed by Gennaro Rispoli.)
Some problems are in reference to the textbook Calculus: Early Transcendentals Single Variable by Stewart (4th or 5th edition)
3. Algebraic Integrals; Long Division; Trigonometric Integrals
6. Algebraic Substitution, Trigonometric Substitution, Partial Fractions
8. Area of Region between 2 graphs
11. Area and Volume
14. Sequences
15. Series (partial sums, geometric series, telescopic series, repeated decimals)
16. Test of Convergence: Direct Comparison Test (DCT); Limit Comparison Test (LCT)
17. Test of Convergence: Ratio Test (RatioT); Root Test (RootT); Absolute and Conditional Convergence
18. Series: Test of Convergence
19. Series: Test of Convergence (Review)
20. Series: Test of Convergence (Summary)
21. Power Series
22. Power Series: Center, Radius, Interval of Convergence
23. Taylor and Maclaurin Series
24. Differential Equations: Separation of Variables
25. Review 1: Algebraic, exponential, logarithmic and trigonometric functions
26. Review 2: Inverse Trigonometric on Derivatives and Integrals; various integrals
27. Review 3: Various Techniques of Integration
28. Review 4: Various Techniques of Integration
29. Review 5: Various Techniques of Integration
30. Review 6: Areas and Volumes
31: Review 7: Improper Integrals
32. Review 8: Various Integrals; Limits; Improper Integrals; Convergence of Sequences and Series
Calculus (Social and Commerce)
Practice problem sets for Calculus I and II
Elasticity Notes and Problems for Calculus 1
Supplemental material for Calculus 1, dealing with Price Elasticity of Demand.
Linear Algebra (Sci.)
Vector Geometry Notes by Denis Sevee
Vector Geometry Notes (pdf)
These notes on Vector Geometry were written by Denis Sevee. They appear as Chapter 5 in the custom textbook currently used at John Abbott College for the course 201-NYC-05 (Linear Algebra for Science Students).
Solutions to Selected Problems (pdf)
Here are solutions to selected problems from the exercises in Denis Sevee’s Vector Geometry notes.
Linear Algebra Exercises by Annette Clark
These exercises were given by Annette Clark, who taught at John Abbott College from 1973 to 2006. (Exercises typed by Gennaro Rispoli.)
Some problems are in reference to the textbook: Elementary Linear Algebra (Abridged Version) by Anton & Rorres (8th edition)
2. Inverses
3. Matrix: Rules for Operations
7. Determinant
8. Lines
9. Planes
11. Intersection of a Line and a Plane
12. Lines and Planes
13. Distance
14. Vectors
16. Subspaces
17. Spanning
18. Basis
19. Matrix Subspaces
20. Theorems
21. Applications
22. Electrical Networks I ; Electrical Networks II ; Maple Instructions
23. Balancing Chemical Equations
24. Projections
25. Theory on Inverse Elementary Matrix
Linear Algebra (Social and Commerce)
Practice problem sets for Linear Algebra
Linear Algebra Exercises by Annette Clark
These exercises were given by Annette Clark, who taught at John Abbott College from 1973 to 2006. (Exercises typed by Gennaro Rispoli.)
Some problems are in reference to the textbook Linear Algebra with Business Applications (2nd ed. pb) by Brown & Sherbert.
2. Inverses
3. Matrix: Rules for Operations
4. Determinant
5. Vectors
6. Lines
7. Planes
10. Subspaces
11. Spanning
12. Basis
13. Matrix Subspaces
14. Simplex
Algebra and Functions
Algebra and Functions exercises by Jordan Dale Hill
These problem sets were created by Jordan Dale Hill.
Some sets were updated by Alice McLeod, Caroline Lefebvre, and Ferenc Balogh.
Simplifying Polynomial Expressions
Solving Linear Systems by Substitution and Elimination
Logarithms Exponential Equations