Course Description: Second of three semesters in a calculus sequence for science and engineering majors. Techniques and applications of integration, elementary differential equations, sequences, series, power series, and Taylor’s Theorem. Use of computational tools.
Textbook: Calculus, Concepts and Contexts by James Stewart, 4th edition. (Required)
Attendance Policy: Attendance will be recorded as a University requirement, but will not be used in calculating grades. Please respect the other students in this class by arriving on time. Schedule conflicts or transportation conflicts are to be addressed with the instructor during the first week of classes.
Technology Policy: Cell phones, smart phones, computers, laptops, iPads, etc. will not help you learn Calculus during lectures. Please silence them and leave them in your bag or pocket during class. Feel free to check your phones during breaks.
E-Mail: Every email sent to the instructor should be respectful, concise and grammatically correct. The subject line should be descriptive. The body of the email should clearly state the question. Emails not meeting these standards or seeking information found in the syllabus may be ignored. Answering calculus questions by email is hard. You may ask, but I might tell you to talk to me in person.
Tests: There will be four in-class tests lasting one hour.
Quizzes: I reserve the right to give in-class or take-home quizzes to assess your understanding of the material and challenge you to learn.
Homework: Assignments include Webassign and Maple. You may have occasional problems to hand in on paper.
Course Grade: Grades will be assigned as follows: 60% for the four tests, 10% for quizzes and homework, 10% for Maple assignments & 20% for the final exam.
Topics (Subject to Change)
|Week||Class||Lecture Topic||Book Sections|
|1||1||Substitution Rule, Integration by Parts, Trig Substition||5.5, 5.6|
|-||2||Partial Fractions, Integration Using Tables||5.7, 5.8, Appendix G|
|3||1||Areas, Volumes||6.1, 6.2|
|-||2||Volumes, Cylindrical Shells, Arc Length||6.2, 6.3, 6.4|
|4||1||Average Value of a Function, Problem Solving||6.5, Page 429-430|
|-||2||Test 1, Applications to Physics and Engineering||6.6|
|5||1||Applications||6.6, 6.7, or 6.8|
|-||2||Applications, Problem Solving (Page 491-492)||6.6, 6.7, or 6.8|
|6||1||Modeling with Diff Eqs, Directional Fields, Euler’s Method||7.1, 7.2|
|-||2||Directional Fields, Euler’s Method, Separable Equations||7.2, 7.3|
|7||1||Separable Equations, Exponential Growth and Decay||7.3, 7.4|
|-||2||Exponential Growth and Decay|
|8||1||Test 2, The Logistic Equation||7.5|
|-||2||Second Order Linear Equations||7.7|
|10||1||Nonhomogeneous Linear Equations||7.8|
|-||2||Applications of Differential Equations||7.9|
|12||1||Test 3, Series||8.0|
|-||2||Integral and Comparison Tests||8.3|
|13||1||Other Convergence Tests||8.4|
|14||1||Other Convergence Tests, Power Series||8.4, 8.5|
|-||2||Representation of Functions as Power Series||8.6|
|15||1||Taylor and Maclaurin Series||8.7|
|-||2||Test 4, Taylor and Maclaurin Series||8.7|
|16||1||The Binomial Series, Applications of Taylor Polynomials||8.7, 8.8|
|-||2||Applications of Taylor Polynomials||8.8|