Tim Alderson --- Some Lecture Notes

I  prepared these notes for a course I taught at the University of Western Ontario, department of Pure Mathematics. 

These are NOT the lecture notes for Math 1003 or Math 1013 at UNBSJ.

All files are .pdf format, if you need a viewer use the Acrobat link at the end of the page. 

         Calculus Notes:

• Unit 1: Logarithmic/exponential functions, Natural log/exponential, Chain rule
• Unit 2: The Antiderivative, Power rule, Sum and difference rules, Side conditions, Substitution
• Unit 3:  Methods of integration, Integration by parts, Partial fractions
• Unit 4: The definite integral, Area, FTC, Average value, Substitution and IBP
• Unit 5: Area between curves, Volumes of rotation
• Unit 6: Continuous money streams, Future/present value, Improper integrals, Multivariable functions
• Unit 7: Partial derivatives and Optimization
• Unit 8: Lagrange's' method, Derivatives/integrals of trigonometric functions
• Unit 9: First order Differential Equations, Separable, Linear
• Unit 10:  Applications of First Order Differential Equations, Heating/cooling, Mixing and Falling problems
• Unit 11: Probability and Calculus, Discrete Random variables, mean/variance
• Unit 12: Continuous Random Variables, the standard normal random variable

Linear Algebra Notes:

• Unit 13:  Systems of Linear Equations
• Unit 14: Matrices and systems of linear equations
• Unit 15: Matrix Operations
• Unit 16: Matrix equations and Inverses
• Unit 17: Theory of linear systems
• Unit 18: Determinants
• Unit 19: Properties of determinants
• Unit 20: Linear independence and Basis in Rⁿ
• Unit 21: Subspaces
• Unit 22: Basis and dimension in  Rⁿ

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