| Math.112 | Intermediate Calculus II | ||
| 2008-2009,Spring | |||
| Text Book:Thomas` Calculus Early Trancendentals(Eleventh Edition) | |||
| Syllabus | |||
| Week | Subject | MT | |
| #1 | Feb 9-13 | Volumes by Slicing and Rotation About an Axis ,Volumes by Cylindrical Shells(6.1,6.2) | |
| #2 | Feb 16-20 | Length of Plane Curves ,Areas of Surfaces of Revolution(6.2,6.3,6.5) | |
| #3 | Feb 23-27 | The Logarithm Defined as an Integral ,Exponential Growth and Decay ,Relative Rates of Growth ,Hyperbolic Fcns.(7.1,7.2,7.3,7.4) | |
| #4 | Mach 2-6 | Basic Integration Formulas ,Integration by Parts ,Integration of Rational Fcns. by Partial Fractions(8.1,8.2,8.3) | |
| #5 | March 9-13 | Trigonometric Integrals ,Trigonometric Substitutions(8.4,8.5) | |
| #6 | March 16-20 | Improper Integrals(8.8) | #1(Mar 21) |
| #7 | March 23-27 | Sequences ,Infinite Series(11.1,11.2) | |
| #8 | March 30-Apr 3 | The Integral Test ,Comparison Tests(11.3,11.4) | |
| #9 | Apr 6-10 | The Ratio and Root Tests ,Alternating Series ,Absolute and Conditional Convergence, Power Series(11.5-11.7) | |
| #10 | Apr 13-17 | Power Series, Taylor and Maclaurin Series+Convergence of Taylor Series;Error Estimates(11.7,11.8+11.9) | |
| #11 | Apr 20-24 | Taylor and Maclaurin Series+Convergence of Taylor Series;Error Estimates, Applications of Power Series(11.8+11.9,11.10) | #2(April 25) |
| #12 | Apr 27-May 1 | 3-Dimensional Coordinate Systems,Vectors,The Dot Product,The Cross Product(12.1-12.4) | |
| #13 | May 4-8 | The Cross Product, Lines and Planes in Space(12.4,12.5) | |
| #14 | May 11-15 | Review | |