2. Unzip the file on your pc with "Winzip" or equivalent. Alternately, transfer the file to your calclab1.math.tamu.edu account (with WinSCP or equivalent) and unzip with the command "unzip mandel15nov08.zip". It will create a directory called "mandel08nov08".
3. Run the program "mandel125" (make sure you navigate to the proper directory before running it). In the directory there is a file called "dummy2.m". The file contains the function that is iterated (line 47).
4. Change the function, for example to,z(h_z)=1.2*z(h_z).^2+c(h_z); or z(h_z)=z(h_z).^2+0.02*z(h_z).^3+c(h_z); 5. Your assignment is to classify the different kinds of regions within the default Mandelbrot set (z(h_z)=z(h_z).^2+c(h_z)) and the change the function to see how the geometry changes.
In your write up, be sure to include lots of graphics from the mandel125 program!
MATH 151, Fall 2017 SECTIONS 516-518, 570-572
Class Times and LocationWhat is on Howdy is correct, so if this doesn't match up then let me know!
R.G. Lynch's Office Hours:When and where: BLOC 608N at
- M: 10:30-11:30p
- T: 01:00-01:45p
- W: 01:30-02:30p
- Or by appointment. Really, please do reach out to me if you need to meet and these times do not work!
Departmental MATH 151 Resources
Other Potentially Helpful Resources
Lecture NotesThese notes are based off Joe Kahlig's lecture notes. Blank notes will typically be posted at least a day in advance and completed notes will be posted the evening following our lectures. Please be sure to reload if nothing is showing up or if the completed notes do not seem to be updated. You might also wish to check out Art Belmonte's 151 page for a nice summary sheet as well as beautifully worked out examples. You can even follow along in MATLAB!
- Supplemental Material
- Chapter 1
- Chapter 2
- Blank: 2.2, 2.3, 2.5, 2.6, 2.7, 2.8
- Completed: 2.2, 2.3, 2.5, 2.6, 2.7, 2.8
- Chapter 3
- Blank: 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 3.10
- Completed: 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 3.10
- Chapter 4
- Blank: 4.1, 4.2, 4.3, 4.4, 4.5, 4.7, 4.9
- Completed: 4.1, 4.2, 4.3, 4.4, 4.5, 4.7, 4.9
- Chapter 5
- Chapter 6
- Final Related
QuizzesI will try to post the sections the quiz will cover by at least the Monday before the quiz. Blank quizzes and their solutions will typically be posted the Monday evening following the quiz. Please be sure to reload the page if nothing is showing. You may wish to practice with the quizzes found on this page that I gave in my previous course. However, they are likely to be a bit different due to rescheduling and choice of material tested on.
|1||09/28||07:30 - 09:30 pm||PSYC 338||Supp. 1, Secs. 1.5 - 2.8|
|2||10/26||07:30 - 09:30 pm||PSYC 338||Secs. 3.1 - 3.10, Supp. 2|
|3||11/20||07:30 - 09:30 pm||PSYC 338||Secs. 4.1 - 5.2|
- Final Exam Information. The final exam locations are the same as where lecture is held. That is, HELD 111 for Secs. 516 - 518, and HELD 107 for Secs. 570 - 572. The times come from the final exam schedule. Please see the linked schedule or the syllabus.
- Guidelines for Common Exams.
- Past Common Exams. In addition to solving the suggested problems from your textbook and working on past homeworks, studying these can be particularly beneficial for the current exam. The more you practice, the better! Don't rely solely on reviewing your notes!!
- Remember that you NEEDthis Scantron for ALL exams (1, 2, 3 and the final). Please note that you must purchase one. DO NOT print as it will not work! You will also need your Texas A&M ID and a #2 Pencil. Failure to bring any of these three things may result in up to a point reduction penalty!
Extra Credit OpportunityWe are pairing up with Triseum for a game study to test out their game for learning calculus, called Variant: A first-person 3D game on Calculus.
You have the following three options:
- You want TO participate in the study. In this case, please read the information in this PDF on how to get involved. If you successfully complete the study, then you will receive 5 extra points on your highest scored midterm exam.
- You do not want to the participate in the study, but you still want extra credit. There is an alternative MATLAB assignment (click) that you can complete instead. Doing so successfully by Friday, Oct. 20 will earn you 5 extra points on your highest exam grade. You CANNOT complete both the game study and the alternative MATLAB assignment for 10 extra credit points. You must choose one or the other if you want extra credit.
- You do not want to do either. You may choose not to participate nor do the alternative MATLAB assignment, and receive no extra credit
Tentative Weekly Schedule
|1||Vectors; The Dot Product, Parametric Equations and Vector Functions||Supp. I|
|2||Inverse Trigonometric Functions; The Limit of a Function; Calculating Limits Using Limit Laws||Section 1.5, 2.2-2.3|
|3||Continuity; Limits at Infinity and Horizontal Asymptotes; Derivatives and Rates of Change||Sections 2.5-2.7|
|4||The Derivative as a Function; Derivatives of Polynomial and Exponential Functions; The Product and Quotient Rules||Sections 2.8, 3.1-3.2|
|5||Derivatives of Trigonometric Functions; The Chain Rule; Exam 1 (Covers Vector Supplement through Section 2.8)||Section 3.3-3.4|
|6||Implicit Differentiation; Derivatives of Logarithmic Functions; Derivatives of Vector Functions||Sections 3.5-3.6, Supp. II|
|7||Slopes and Tangents to Parametric Curves; Rates of Change in the Natural and Social Sciences; Exponential Growth and Decay||Supp. II, Sections 3.7-3.8|
|8||Related Rates; Linear Approximations and Differentials||Sections 3.9-3.10|
|9||Maximum and Minimum Values; The Mean Value Theorem; Exam 2 (Covers 3.1 through 3.10, including Supplement II)||Sections 4.1-4.2|
|10||How Derivatives Affect the Shape of a Graph; Indeterminate Forms and L’Hospital’s Rule||Sections 4.3-4.4|
|11||Summary of Curve Sketching; Optimization Problems; Antiderivatives||Sections 4.5, 4.7, 4.9|
|12||Areas and Distances; The Definite Integral; The Fundamental Theorem of Calculus||Sections 5.1-5.3|
|13||Exam 3 (Covers 4.1 through 5.2); Thanksgiving Holiday|
|14/15||Indefinite Integrals and the Net Change Theorem; The Substitution Rule; Areas Between Curves||Sections 5.4-5.5, 6.1|
Please compare this information to Howdy and the syllabus and email me if you spot an error.Click for R.G. Lynch's Homepage.