
MATH105 
General Course Info
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Midterm 1: Thursday, Feb 6th 2014, 6:30pm7:30pm
Midterm 2: Thursday, Mar 20th 2014, 7:30pm8:30pm
Day of final exam: Thursday, April 24, 2014, 12:00pm
Available Practice Exams
Dynamic Course Syllabus
Week 1. Functions of several variables (Chapter 12)
 Planes and surfaces (12.1)
 Graphs and level curves (12.2)
Learn about multivariable calculus
Week 2. Functions of several variables (Chapter 12)
 Partial derivatives (12.4)
 Maximum/minimum problems (12.8)
Learn about partial derivatives
Learn about multivariable calculus
Week 3. Functions of several variables (Chapter 12)
 Maximum/minimum problems (12.8)
 Lagrange multipliers (12.9)
Learn about Lagrange multipliers
Week 4. Integration (Chapter 5)
 Approximating areas under curves (5.1)
 Definite integrals (5.2)
Learn about integration using symmetry
Learn about antiderivative sketching
Learn about calculating the area between two curves
Week 5. Integration (Chapter 5)
 Fundamental theorem of calculus (5.3)
 Substitution rule (5.5)
 Integration by parts (7.1)
Learn about the Fundamental Theorem of Calculus
Learn about integration by parts
Week 6. Integration techniques (Chapter 7)
 Trigonometric Integrals (7.2)
 Trigonometric substitutions (7.3)
 Partial fractions (7.4)
Practice integrals uncategorized, based on any technique
Learn about trigonometric integrals
Learn about trigonometric substitutions
Week 7. Integration techniques (Chapter 7)
 Numerical integration (7.6)
 Improper integrals (7.7)
 Introduction to differential equations (7.8)
Learn about the trapezoidal rule
Learn about the Simpson's rule
Learn about improper integrals
Learn about the integral comparison test
Learn about separation of variables
Learn about integrals that cycle
Learn about differential equations
Learn about initial value problems
Week 8. Probability (Probability Appendix)
 Random Variables and Probability Basics (1.1, 1.2 and 1.4 in Probability Appendix)
 Continuous random variable (2.1, 2.2 and 2.3 in Probability Appendix)
 Expected Value, Variance, and Standard Derivation (2.5 and 2.6 in Probability Appendix)
Learn about probability density functions
Learn about the standard deviation
Learn about cumulative distribution functions
Learn about discrete probability
Week 9. Sequences and infinite series (Chapter 8)
 Sequences (8.18.2)
 Infinite series (8.3)
 The divergence and integral tests (8.4)
Learn about the integral comparison test
Week 10. Series (Chapter 8) and Power series (Chapter 9)
 The ratio, root and comparison tests (8.5).
 Approximating functions with polynomials (9.1)
 Properties of power series (9.2)
Week 11. Power series (Chapter 9) and review
 Taylor series (9.3)
 Working with Taylor series (9.4)