| Math 1401 - Calculus II | |||||
| Spring 2008 | |||||
| Instructor | Christina Sonnek | ||||
| christina.sonnek@anokaramsey.edu | *best way to reach me!! | ||||
| Office | Humanities 114 | ||||
| Telephone | 763-433-1214 | ||||
| Class Website | http://webs.anokaramsey.edu/sonnek | ||||
| Office Hours | 11:00-12:00 Mon,Wed,Fri; 6:30-7:00 Mon,Thu; online Mon 2:00-3:00 | ||||
| Class Meetings | 7:00-9:15 Mon, Thur | ||||
| Text | Calculus-Concepts and Contexts, by Stewart, 3rd edition | ||||
| Attendance | You are expected to attend all class meetings. If an emergency occurs, it is your responsibility to make up the missed work. | ||||
| Content | Chapters 5-8, Part of Appendix H | ||||
| Calculators | Calculators may be allowed on some parts of some exams. Instruction will be provided on the TI-83 calculator. | ||||
| Assignments | My expectation is that you will spend an average of two hours outside of class per hour in class. There will be some assignments that will be turned in for credit. Late assignments will NOT be accepted. Missing a class period when an assignment is due is NOT an excuse for late assignments. Other assignments may be given (including quizzes). Do NOT fall behind in your homework. | ||||
| Tentative Exams | Exam 1 - Ch 5 | 100 points | 4-Feb | ||
| Exam 2 - Ch 6 | 100 points | 28-Feb | |||
| Exam 3 - Ch 7 | 100 points | 31-Mar | |||
| Exam 4 - Ch 8.1-8.5 | 100 points | 21-Apr | |||
| Quiz 1 - H1, H2 | 50 points | Due 3-Mar | |||
| Quiz 2 - 8.6-8.9 | 50 points | 8-May | |||
| Final - Cummulative | 200 points | 12-May | |||
| Exams must be taken during the scheduled time. No late exams will be given. In case of emergency, you must contact me before the time of the exam. Noncompliance with this procedure will result in a grade of zero for that exam. Any form of cheating will result in a zero. | |||||
| Grading | 90-100% | A | |||
| 80-89% | B | ||||
| 70-79% | C | ||||
| 60-69% | D | ||||
| below 60% | F | ||||
| Pass/No Credit | If you wish to take this course on a pass/no credit basis, you must inform me in writing by the end of the first week. Passing is 70% or better. Be sure to check with your counselor first. | ||||
| Incomplete | No incomplete will be considered unless you are earning a C or above, have completed more than half the course, and have missed class because of extreme circumstances. | ||||
| Drop/Withdraw | The last day to withdraw from a course is 4-24. See Student Handbook for more details. | ||||
| Accomodations for Students with Special Needs | |||||
| Anoka Ramsey
Community College does not discriminate on the basis of race, color, national origin, gender sexual orientation, religion, age or disability in emplooyment or in the provision of our services. Within the first week of class, students with special needs that require accomodations should contact the Director of Access Services to discuss possible support services. |
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| Learner Outcomes | At the conclusion of the course, the student should be able to: | ||||
| Use the Fundamental Theorem of Calculus with theoretical and applied problems. (5.4) | |||||
| Integrate, using integration by parts, miscellaneous substitutions, partial fractions, or tables of integrals. (5.5, 5.6, 5.7, 5.8) | |||||
| Approximate the value of a definite integral by using the left rectangle rule, right rectangle rule, mid-point rule, trapezoidal rule, or Simpson’s rule, and find the error in approximation when using each of these rules. (5.9) | |||||
| Use a definite integral to find the area between graphs. (6.1) | |||||
| Find the volume of a solid. (6.2) | |||||
| Use integration to find the length of an arc. (6.3) | |||||
| Use integration to find the average value of a function on a closed interval. (6.4) | |||||
| Find a number that satisfies the conclusion of the Mean Value Theorem for definite integrals. (6.4) | |||||
| Find the moment of a system about the origin, the x-axis or the y-axis. (6.5) | |||||
| Find the total mass and center of mass of a system or lamina. (6.5) | |||||
| Use integration to compute the mean and median of a probability density function, as well as simple probabilities. (6.7) | |||||
| Solve a separable differential equation. (7.1, 7.3) | |||||
| Solve a differential equation using algebraic, geometric or numerical techniques. (7.2) | |||||
| Apply knowledge of separable differential equations to solve application problems involving growth and decay. (7.4) | |||||
| Find an appropriate model involving a logistic equation. (7.5) | |||||
| Use differential equations to produce a phase of a portrait predator-prey system. (7.6) | |||||
| Use differentiation to find the slope of a tangent line to a polar curve. (H1, H2) | |||||
| Use integration to find the area bounded by a polar curve(s). (H1, H2) | |||||
| Use integration to find the length of a polar curve. (H1, H2) | |||||
| Find the limit of a sequence and determine if it converges. (8.1) | |||||
| Determine whether a series is convergent or divergent by using tests such as: the test for divergence, the integral test, the comparison test, the limit comparison test, the alternating series test, and the ratio test. (8.2, 8.3, 8.4) | |||||
| Estimate the sum of a series and the error in that estimate. (8.2, 8.3, 8.4) | |||||
| Determine the radius of convergence and the interval of convergence of a power series. (8.5) | |||||
| Differentiate and integrate a power series. (8.6) | |||||
| Find a Taylor polynomial of a function at a real number and estimate the error in using that polynomial as an approximation of the function. (8.7) | |||||
| Use a binomial series to approximate a function. (8.8) | |||||
| Use a power series to solve a differential equation. (8.6) | |||||
| Use a computer algebra system where applicable in the above outcomes and interpret the results. | |||||