CALCULATOR: A graphing calculator is required for this course. We have traditionally used the TI-83 or 83+ and recommend either of them, but any calculator with equivalent capacities can be used, such as the popular TI-85 or 86. Calculators will not be permitted during exams. Formula sheets will not be permitted during exams.
CAUTION: Your schedule may vary. There are many sections of Math 151. The order in which topics are covered, the rate at which they are covered, the precise times of examinations, and WebAssign online homework will vary from section to section. For example: The table that you see below has EXAM 1 scheduled during the 11th lecture. The lecturer may decide to give the exam during the 10th lecture, instead. The table says that section 4.2 is covered during the 15th lecture. The lecturer may decide to start 4.2 at the end of the 15th lecture, and finish it during the 16th lecture. The table is only an approximate version of the schedule that will actually be followed. The final exam is different. All sections of Math 151 take the final exam on December 15 from 4 to 7 pm. If a student has an emergency or some other compelling reason for postponing the final exam, then that student must contact the lecturer about a makeup exam at a later (not earlier) date. There will also be workshop write-ups, which must be done on paper.
The exact timing and coverage of exams during the semester will be announced by each lecturer. As a student in Math 151, your obligations will be set and announced by your individual instructors, and you will find them out only by attending your own class. Lectures are held twice each week. There is an additional recitation (called a workshop) each week. We DO NOT cancel recitations that have their first meeting before the first lecture.
The final exam for this course will be given on Tuesday, December 15, 2015 from 4:00 pm to 7:00 pm. The final exam locations will be announced in December. Your final exam location may not be the same as the room where you have your lectures. All sections of Math 151 take the same final examination. Earlier in-class exams (Exam 1 and Exam 2) are written by each lecturer.
Your lecturer will announce the grading scheme for your section
of Math 151. Your scores on
Exam 1, Exam 2, the Final Exam, workshop write-ups
and the WebAssign online homework will be used to determine
your course grade.
| Lecture | Sections | Topics | Suggested textbook exercises |
|---|---|---|---|
| 1 | 1.1, 1.2, 1.3 | Some basic topics and elementary facts about functions |
1.1: 8, 10, 18, 22, 24, 30, 36, 40, 44, 49, 59, 60, 62, 66, 78 1.2: 10, 15, 17, 24, 40, 47 1.3: 6, 8, 12, 16, 18, 30, 32, 36 |
| 2 | 1.4, 1.5 | Trigonometric and inverse functions |
1.4: 6, 8, 10, 14, 20, 22, 24, 34 1.5: 4, 12, 16, 20, 22, 28, 34, 38, 40 |
| 3 | 1.6, 1.7, 2.1 | Exponential and logarithmic functions, graphing calculators, introduction to limits |
1.6: 4, 8, 12, 14, 20, 30, 34, 40, 41 1.7: 6, 8, 14, 20 2.1: 6, 8, 14, 22 |
| 4 | 2.2, 2.3, 2.4 | Limits and continuity |
2.2: 4, 14, 20, 22, 30, 50, 56 2.3: 10, 18, 26, 32 2.4: 4, 6, 14, 24, 28, 49, 54, 58, 60, 62 |
| 5 | 2.5, 2.6, 2.7 | Evaluating limits algebraically, trigonometric limits, limits at infinity |
2.5: 8, 10, 18, 22, 26, 32, 38, 42, 48, 50 2.6: 4, 6, 10, 14, 20, 24, 26, 34, 36, 44, 49 2.7: 8, 12, 16, 20, 24, 30, 36, 38, 42 |
| 6 | 2.8, 2.9 | Intermediate value theorem, formal definition of limit |
2.8: 4, 6, 12, 16, 20, 22 2.9: 4, 6, 16, 19, 26 |
| 7 | 3.1, 3.2, 3.3 | Definition of derivative, product and quotient rules |
3.1: 2, 4, 8, 16, 20, 22, 24, 28, 34, 42, 56 3.2: 6, 10, 18, 22, 26, 32, 34, 36, 42, 48, 50, 52 3.3: 4, 6, 10, 12, 16, 20, 26, 28, 32, 42, 44 |
| 8 | 3.4, 3.5, 3.6 | rates of change, higher derivatives and derivatives of trigonometric functions |
3.4: 2, 6, 8, 10, 12, 16, 22, 24, 28, 34, 44 3.5: 10, 14, 16, 26, 28, 38, 40, 42 3.6: 4, 6, 8, 12, 18, 20, 22, 30, 34, 38, 42, 44, 46 |
| 9 | 3.7 | The chain rule | 3.7: 8, 10, 14, 18, 20, 22, 26, 28, 30, 32, 36, 40, 46, 50, 62, 70 |
| 10 | 3.8 | Implicit differentiation | 3.8: 10, 14, 20, 26, 28, 30, 36, 40, 48, 52, 60 |
| 11 | EXAM 1 | Calculators are not allowed. Formula sheets are not allowed. |
Exam to be given in the lecture room during the lecture period. |
| 12 | 3.9 | Derivatives of general exponential and logarithmic functions | 3.9: 8, 12, 16, 18, 24, 34, 40, 48, 54, 58, 66, 68, 72 |
| 13 | 3.10 | Related rates | 3.10: 6, 8, 10, 12, 14, 16, 18, 26 |
| 14 | 4.1, 4.8 | Linear approximations and Newton's method |
4.1: 6, 8, 10, 12, 16, 22, 38, 48, 52, 54 4.8: 4, 8, 10, 16, 24 |
| 15 | 4.2 | Extreme values | 4.2: 6, 10, 16, 20, 22, 24, 26, 32, 38, 42, 50, 62, 66 |
| 16 | 4.3, 4.4 | The mean value theorem, monotonicity and the shape of a graph |
4.3: 4, 12, 14, 16, 24, 26, 30, 36, 40, 44, 52, 56 4.4: 4, 8, 10, 14, 18, 28, 32, 42, 44, 48, 54 |
| 17 | 4.5 | L'Hopital's rule | 4.5: 2, 6, 10, 14, 16, 18, 22, 26, 28, 32, 36, 44, 50 |
| 18 | 4.6 | Graph sketching and asymptotes | 4.6: 12, 14, 18, 24, 32, 36, 38, 56, 62, 68 |
| 19 | 4.7 | applied optimization | 4.7: 4, 6, 8, 10, 14, 16, 18, 22, 24, 26, 28 |
| 20 | 5.1 | Approximating and computing area | 5.1: 4, 6, 10, 18, 20, 22, 24, 32, 40, 46, 54 |
| 21 | EXAM 2 | Calculators are not allowed. Formula sheets are not allowed. |
Exam to be given in the lecture room during the lecture period. |
| 22 | 5.2 | The definite integral | 5.2: 2, 7, 8, 12, 16, 18, 26, 36, 44, 58, 62 |
| 23 | 5.3 | The indefinite integral | 5.3: 16, 22, 25, 32, 34, 38, 42, 52, 56, 62, 66 |
| 24 | 5.4, 5.5 | The fundamental theorem of calculus | 5.4: 10, 16, 24, 32, 34, 42, 48, 52, 56, 60 5.5: 10, 12, 20, 24, 28, 36, 40 |
| 25 | 5.6, 5.7 | Net change and substitution | 5.6: 4, 6, 10, 16, 23 5.7: 8, 11, 12, 14, 16, 19, 20, 28, 33, 34, 41, 42, 57, 58, 67, 73, 76 |
| 26 | 5.8, 5.9 | Further exponential functions and exponential growth and decay |
5.8: 14, 16, 18, 20, 26, 28, 40, 42, 54, 58, 64, 70 5.9: 1, 6, 8, 11, 12, 14, 20, 23, 28, 34, 38 |
| 27 | 6.1 | Area between two curves | 6.1: 4, 10, 12, 24, 35, 44 |
| 28 | CATCH UP | Catch up and review |
This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the course coordinator for the current term.
Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters.