Science:Math Exam Resources/Courses/MATH105

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MATH105



General Course Info

Visit the course main page here.

Midterm 1: Thursday, Feb 6th 2014, 6:30pm-7:30pm
Midterm 2: Thursday, Mar 20th 2014, 7:30pm-8:30pm
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

Learn about level curves


Week 2. Functions of several variables (Chapter 12)

  • Partial derivatives (12.4)
  • Maximum/minimum problems (12.8)

Learn about partial derivatives

Learn about optimization

Learn about multivariable calculus


Week 3. Functions of several variables (Chapter 12)

  • Maximum/minimum problems (12.8)
  • Lagrange multipliers (12.9)

Learn about optimization

Learn about Lagrange multipliers


Week 4. Integration (Chapter 5)

  • Approximating areas under curves (5.1)
  • Definite integrals (5.2)

Learn about Riemann sums

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 substitution

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

Learn about partial fractions


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

Learn about equilibrium

Learn about steady states


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 the mean

Learn about the median

Learn about cumulative distribution functions

Learn about discrete probability


Week 9. Sequences and infinite series (Chapter 8)

  • Sequences (8.1-8.2)
  • Infinite series (8.3)
  • The divergence and integral tests (8.4)

Learn about sequences

Learn about series

Learn about power series

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)

Learn about series

Learn about power series


Week 11. Power series (Chapter 9) and review

  • Taylor series (9.3)
  • Working with Taylor series (9.4)

Learn about power series

Learn about Taylor series




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