Welcome to Honors Math Analysis.
In these course pages you will find the course syllabus and a weekly schedule of assignments. Additionally, I will post fundamental definitions, axioms, theorems or interesting ideas developed in class. Remember that the class notes will be the most comprehensive and your primary reference.
Click here in order to view the course syllabus.
Daily assignments are listed below. Assignments can be added, deleted or modified as appropriate. Please note that there will be a quiz given each week, but may not be announced!
| Day | Assignment |
| 1 | Meet and Greet – Course Bureaucracy |
| 2 | Day 1 continued: Review Real Number System. Natural numbers and integers are subsets of the rational numbers. Can you describe geometrically, what makes a rational number different from an irrational number? |
| 3 | Review of the real number system continued. Review factoring. HW: R.2 (pg 885); 3,8,12, 14,17, 19, 21,24,30, 42,47, 62,66, for 68-88 choose a few that you would not want to see on a quiz or test. |
| 4 | 2.1 Basic Functions – Definition and some properties. HW: 2.1; 11-22, 24-34e |
| 5 | 2.1 Basic Functions – Definition and some properties. HW: 2.1; 35-46, 54-76 |
| 6 | 2.1 Basic Functions – Definition and some properties HW: Review and Retry problems with which you had difficulty. |
| 7 | In class investigation with functions. Introduction to LaTeX HW: TBA |
| 8 | 2.2 Function Transformations and Their Graphs. Initially we will consider function transformations analytically (without a calculator) and develop some experience with transformations. Developing analytical skills are important for doing well on non-calculator based tests, as well as, and more importantly, having the ability to know if the answer that a computer produced is reasonable. HW: 2.2; 11-19, 25-30, 31-42 |
| 9 | 2.2 Function Transformations and Their Graphs. HW: 2.2; 47-62 |
| 10 | 2.2 Function Transformations and Their Graphs. Using the graphing calculator to obtain correct answers. HW: Choose a few of the previous homework problems and solve using the graphing calculator. |
| 11 | 2.3 Function Transformations Continued. HW: 2.3; 1-8, 11-12, 19,20,21, 33,34, 36,38,46,48 |
| 12 | 2.3 Function Transformations Continued.HW: 52-53, 59-60, We’ll need to pay attention to the language used in the instructions for problems 63-74. |
| 13 | 2.1-2.3: Reviewing the Basics HW: 1-10 |
| 14 | 2.4 Absolute Value. HW: 2.4; 1-20 |
| 15 | 2.4 Absolute Value. HW: 2.4; 29-32, 39,40,44, 51,52,58,59,64 |
| 16 | 2.4 Absolute Value. HW: 2.4; 68,71,74,78 |
| 17 | 2.4 Absolute Value. Review of the Previous Lessons. HW: Redo or retry problems you initially found difficult in order to ensure that you can correct solve them. Try some problems not assigned |
| 18 | 2.5 Piecewise Functions. HW: 2.5; 1-4, 6,8, 10,13,16,19, 21-24, 33-38 |
| 19 | 2.5 Piecewise Functions. HW: 2.5; 39,40, 50,52,55,58 |
| 20 | 2.5 Piecewise Functions. HW:57,59,60,62 |
| 21 | 2.4-2.5 Review: Consider how the graph of \(f\) changes when added to the greatest integer function. Is there a discernible pattern? What assumptions are you making about \(f\) ? |
| 22 | 2.4-2.5 Review |
| 23 | 2.4-2.5 Review |
| 24 | 2.4-2.5 Review |
| 25 | 2.4-2.5 |
| 26 | 2.6 Operations on Functions and Function Compositions. HW: 2.6; 2-34e |
| 27 | 2.6 Operations and Composition. HW: 2.6; 35-46 |
| 28 | 2.6 Operations and Composition. HW: 2.6; 47-52, 59-72 |
| 29 | 2.6 |
| 30 | 2.6 |
| 31 | Chapter 2 Review |
| 32 | Chapter 2 Test |
| 33 | 3.2 Quadratic Functions and Graphs. HW: 6,9,15, 17,18, 20,24, 26,29,32 |
| 34 | 3.2-3.3 Quadratic Equations & Inequalities HW: Section 3.3: 18,22,26,30,55, 95,96,102 |
| 35 | 3.3 Quadratic Equations & Inequalities HW: Really focus on being able to represent your answers from this section both graphically and analytically. Feel free to use your graphing calculator to check your answer. |
| 36 | 3.1: Structure of the Complex Plane. We will consider a few significant ways in which complex numbers are different from real numbers. The properties do not appear in the text and will not be tested per se, however, I think it is important that you are exposed to these differences. | 37 | 3.1 Complex Numbers and their operations. HW: 2-14e, 15-20, 22,26,28,32, 39,43,44, 46,50,54, 56,62,68,69,72, 74,79,86, 100,101,103 |
| 38 | 3.1 Review Operations on Complex Numbers. HW: In class problems with answers given. |
| 39 | 3.4 Applications of Quadratics & Models. HW: 11,13,16,18,23,30 |
| 40 | 3.4-3.5 Higher Degree Polynomial Functions. HW: Section 3.5: 10-20even, 33-46 |
| 41 | 3.5 Higher Degree Polynomial Functions. HW: 59-66 |
| 42 | 3.5 Higher Degree Polynomial Functions. HW: Review |
| 43 | 3.6 Topics in the Theory of Polynomial Functions. HW: 6-14e, 23,23,31, 24-28e |
| 44 | 3.6 Topics in the Theory of Polynomial Functions. HW: 38-42e, 50-54e |
| 45 | 3.6 Topics in the Theory of Polynomial Functions. HW: 66-76e, 88-92e |
| 46 | 3.7 Topics in the Theory of Polynomial Functions. HW: 2-18e |
| 47 | 3.7 Topics in the Theory of Polynomial Functions. HW: 26-38e, 41-46 |
| 48 | 3.7 Topics in the Theory of Polynomial Functions. HW: 52, 54, 58, 62, 68, 74, 78 |
| 49 | 3.8 Polynomial Equations and Inequalities. HW: 2-18e, 20-32e |
| 50 | 3.8 Polynomial Equations and Inequalities. HW: 38-56e, 62,65,68,69 |
| 51 | 3.8 Polynomial Equations and Inequalities.HW: |
| 52 | Review HW: |
| 53 | Test HW: |
| 54 | 4.1/4.2 HW: |
| 55 | 4.1/4.2 HW: |
| 56 | 4.1/4.2 HW: |
| 57 | 4.3HW: |
| 58 | 4.3HW: |
| 59 | HW: |
| 60 | HW: |
| 61 | HW: |
| 62 | HW: |
| 63 | 3.1-3.4 HW: |
| 64 | 3.1-3.4 HW: |
| 65 | 3.1-3.4 HW: |
| 66 | 3.1-3.4 HW: |
| 67 | 3.1-3.4 HW: |
| 68 | 3.1-3.4 HW: |
| 69 | 3.1-3.4 HW: |
| 70 | 3.1-3.4 HW: |