5.1, 5.2, 5.3, 5.4 Review of the definite integral and the Fundamental Theorem of Calculus.
5.5 Integration by Substitution
|HW01 on WebAssign, Due Wed 2/6 at 9am.
No paper homework this week.
|Definition of the Integral;
The Fundamental Theorem;
|2/4||5.6 Integration by parts
5.7 Trigonometric integrals, Trigonometric substitutions
2/8@4pm: Last day to add/drop
|HW02 on WebAssign, Due Wed 2/13 at 9am.
Paper homework 1, Due in recitation on 2/13, 2/14 or 2/15.
|Integration by Parts;
Trigonometric Integrals and Trig Substitutions.
|2/11||5.7 Trig Substitutions, Partial Fractions
5.9 Approximate integration
|HW03 on WebAssign, Due Wed 2/20 at 9am.
Paper homework 2, Due in recitation on 2/20, 2/21 or 2/22.
|Trig Substitutions and Partial Fractions;
|2/18||5.9 Simpson's Rule
5.10 Improper integrals
|HW04 on WebAssign, Due Wed 2/27 at 9am.
Paper homework 3, Due in recitation on W, Th, or F.
|Midpoint, Trapeziod, and Simpson's rule;
Simpson's rule, Improper integrals;
more improper integrals.
|2/25||6.1 More about area
6.2, 6.3 Volumes, Volumes of revolution
|HW05 on WebAssign, Due Monday 3/4 at 5pm.
No paper homework this week; study for the exam instead.
|Area between curves;
|3/4||M 3/4 8.45 pm: Midterm 1 More information is here
6.4 Arc length
6.5 Average Value
6.1-6.4 in 3rd ed
3/8: Last day to move down to MAT126 or MAT131. File this form before 4pm.
|HW06 on WebAssign, Due Wednesday 3/13 at 10am.
Paper homework 4, Due in recitation on W, Th, or F.
|Volumes of Revolution;
Arc Length and Average Value;
|3/11||Appendix H Polar coordinates, Polar Curves and Area
|HW07 on WebAssign, Due Wed 3/27 at 9am.||Polar Coordinates;
Polar Curves and Area;
Polar Area, infinite sequences.
|3/25||8.2 Infinite series
8.3 Integral test
8.3 Comparison and Limit comparison tests
|HW08 on WebAssign, Due Wed 4/3 at 9am.||more sequences, Geometric and Harmonic Series;
more infinite sums; integral test;
integral and comparison tests.
|4/1||8.4 Ratio test, Alternating series test, Absolute convergence
8.5 Power series
8.6 Functions as series
4/5: Last day to change to G/P/NC status or withdraw with W grade (must be done by 4pm)
|HW09 on WebAssign, Due Wed 4/10 at 9am.||Alternating Series, Absolute Convergence, Ratio Test;
New Power Series from Old Ones.
W 4/10 8.45pm: Midterm 2
8.7 Taylor and Maclaurin series
|HW10 on WebAssign, Due Wed 4/17 at 9am.||review for midterm
Functions as Power SeriesFunctions as Power Series
|4/15||8.8 Applications of Taylor series
Appendix I Complex Numbers
7.1 Modeling with differential equations
|HW11 on WebAssign, Due Wed 4/24 at 9am.
Paper homework 5, Due in recitation on W, Th, or F.
|convergence of Taylor series, binomial series, etc.
Taylor Remainder, Complex numbers
Complex exponential; intro to Differential Equations
|4/22||7.2 Direction fields, Euler's method
7.3 Separable Equations
7.4 Exponential growth
|HW12 on WebAssign, Due Wed 5/1 at 9am.||Direction Fields and Euler's method
Separable differential equations
mixing, heating, exponential growth
|4/29||Notes on 2nd order Differential Equations (see here)
7.5 The logistic equation
|HW13 on WebAssign, Due Wed 5/8 at 9am.||Second order linear D.E.s
More 2nd order linear DE.s, logistic model
|5/6||7.6 Predator-Prey systems
|Predator Prey systems|
|5/13||No Class: Finals and Reading Period||review I
Monday, May 20, 8:00-10:45am