MAM1000W

Hand Written, what you need to know to crush your tests and exams.. Complex Numbers; 3D Space; Vectors; Matrices; Differential Equations

This is a summary showing all integration rules needed in MAM1000W along with understanding between derivative and anti-derivative graphs. If you like this check out: What you need to know MAM1000W BUNDLE

This is a summary of all Rules needed for differentiation in MAM1000w. If like you like please look at All you need to know: MAM1000W Semester 1 Summary

Hand-Written, MAM1000W summary for Semester 1. What you need to know for Semester 1 tests and exams. Hidden test questions, and all you need to know information..........Less is More............. What it contains: Functions: odd, even, translations, compositions...etc; Sets; Absolute Value; Curve Sketching; Exponents; Logs; e; Trigonometry: Graphs,Identities, Functions, Inverse Functions; Equation of Trig Functions; Limits; Algebraic Manipulation of Limits; Squeeze Theorem; C...

Differential Equations, Vectors, Matrices and Linear Transformations

The test will cover material from everything that wasn't covered in test 1 up to what was covered by the end of last term (excluding related rates), which corresponds to the coming week's homework. The detailed breakdown of it is as follows: • Inverse functions, logs and inverse trig functions (parts of Stewart 6.1,6.3 and 6.6) • Proof by contradiction (Resource book) • Proof by induction (Resource book) • The limit of a function (Stewart 1.5) • Calculating limits using the limi...

Here is a list of the topics that we will be testing: • Related Rates (Stewart 2.8) • Maximum and Minimum Values (Stewart 3.1) • The Mean Value Theorem (Stewart 3.2) • How derivatives affect the shape of graphs (Stewart 3.3) • Curve sketching (Stewart 3.5) • L'hospital's rule (Stewart 6.8) • Optimization problems (Stewart 3.7) Proofs that you are expected to know • Rolle's Theorem (proof in the Mathematics Resource Book as well as in Stewart) • The Mean Value Theor...

Topics for test 4: • Antiderivatives - Stewart 3.9 • Sigma notation - Stewart Appendix E • Areas and distances- Stewart 4.1 • The definite integral - Stewart 4.2 • The Fundamental Theorem of Calculus - Stewart 4.3 • Indefinite integrals and the net change theorem - Stewart 4.4 • The substitution rule - Stewart 4.5 • Integration by parts - Stewart 7.1 • Trigonometric integrals - Stewart 7.2 • Trigonometric substitution - Stewart 7.3 • Partial fractions - Stewart 7...