» Teaching
My Teaching Philosophy:
As most of my past students will attest to, I am very demanding of my students but not unfairly demanding. I work hard at teaching and I am as passionate about my teaching as I am about my research. I expect my students to work hard in return.
Most of us cannot do mathematics simply by watching someone else do mathematics - likely, you have heard the old (but very true) cliche "mathematics is not a spectator sport". Mathematics was, is, and always will be difficult for most of us - the only way to understand the subject properly is to study hard (and often) and work lots and lots of problems (repetition is good!). Don't be fooled by gimmicks or trends (there are plenty out there!) that pretend to make aspects of the subject 'easy'; if you really want to learn mathematics, it usually involves tremendous effort and hard work. To loosely paraphrase Euclid "There is no royal road to understanding mathematics".
In all of my classes that I teach, I do provide a detailed syllabus with assigned problems at the end of each section covered. However, I do not collect homework from students. It is my feeling that once students enter the university, they should be responsible and mature enough to make sure that these assignments are completed. I do give weekly quizzes as my way of keeping the students up to date with the course material.
In most of my courses, I will not allow the use of a calculator. There are some very interesting assigned problems, designed for a calculator, on your syllabus that I recommend the students work and solve. Certainly, I do not want to underscore the value of a calculator; it is an exceptional tool for applying many mathematical algorithms (like Simpson's Rule, Runge-Kutta methods, etc.). I do, however, want my students to concentrate on having a better understanding of prerequisite mathematics and to focus on improving their mental arithmetic skills. While it is true that "calculators are powerful tools for discovering and understanding concepts", I have noticed that the algebraic, geometric, and trigonometric skills of students have greatly suffered as a result of, I believe, an over-dependence on calculators. In fact, in my twenty-five years of teaching, I have never seen poorer skills in these areas from our students (I certainly do not want to be offensive or insulting to my students - or any other student - by making this statement; I mention this merely as an observation that I find quite alarming). I expect students to know how to compute, for example, sin(30°) without having to consult their calculator for the answer. Furthermore, I find it disturbing that many students these days can no longer sketch, without using their calculator, a simple rational function. In my undergraduate classes, as a prerequisite, I expect students to be able to graph such rational functions, factor simple polynomials, simplify algebraic expressions, and know the fundamentals of trigonometry - all without using a calculator!
With the help of my colleagues, I have put a link to our departmental web page called Studying Tips. This is a helpful guide that every college student should read and understand. I am very serious about educating my students; I am here to help my students if they seek my help.
Teaching: 2002-2013
- Math 5345 (Functional Analysis)
- Math 4327 (Advanced Calculus II)
- Math 4326 (Advanced Calculus I)
- Math 3323 (Introduction to Analysis) Click here for the syllabus
- Math 1322 (Calculus II) Click here for the syllabus
Solutions to Math 1322 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quiz 9; Quiz 10
Solutions to Math 1322 Exams: Midterm 1; Midterm 2; Midterm 3; Final Exam
- Math 5324 (Real Analysis 2)
- Math 3325 (Ordinary Differential Equations) Click here for the syllabus
- Math 5323 (Real Analysis 1)
- Math 3323 (Introduction to Analysis) Click here for the syllabus
Assignments: Assignment #1 (Due February 2) (Solutions); Assignment #2 (Due February 18) (Solutions); Assignment #3 (Due March 18) (Solutions); Assignment #4 (Due April 1) (Solutions); Assignment #5 (Due April 23) (Solutions)
Examinations: Examination 1 (Solutions); Examination 2 (Solutions)
- Math 3325 (Ordinary Differential Equations) Click here for the syllabus
[Baylor students: I taught a similar course (Math 2250) at Utah State University. Scroll down below to 2006 and earlier to find copies of various examinations and quizzes for this course.]
Solutions to Math 3325 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quiz 9; Quiz 10; Quiz 11
Problem Sets: Annihilator Method Problems
Solutions to Math 3325 Exams: Midterm 1; Midterm 2; Midterm 3; Final Exam
- Math 3326 (Partial Differential Equations) Click here for the syllabus
Solutions to Math 3326 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quiz 9; Quiz 10; Quiz 11; Quiz 12
Solutions to Math 3326 Exams: Midterm 1; Midterm 2; Midterm3; Final Exam
Problem Sets: Set 1; Set 2; Set 3
- Math 3326 (Partial Differential Equations) Click here for the syllabus
Solutions to Math 3326 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8
Solutions to Math 3326 Exams: Midterm 1; Midterm 2; Midterm 3; Final Exam
Problem Sets: Set 1; Set 2; Set 3; Set 4; Set 5; Set 6; Set 7; Set 8; Set 9; Set 10; Set 11; Set 12
- Math 2311 (Linear Algebra) Click here for the syllabus
Solutions to Math 2311 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quiz 9; Quiz 10; Quiz 11
Solutions to Math 2311 Exams: Midterm 1; Midterm 2; Midterm 3
- Math 6V23 (Functional Analysis)
- Math 2311 (Linear Algebra) Click here for the syllabus
Solutions to Math 2311 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8
Solutions to Math 2311 Exams: Midterm 1; Midterm 2; Midterm 3; Final Exam
- Math 1321 (Calculus 1) Click here for the syllabus; for a PDF version click here.
- Math 1100 (Calculus techniques) Click here for the UPDATED syllabus; for a PDF version, click here.
Solutions to Math 1100 Pretest: Click here.
Solutions to Math 1100 Exams: Exam 1; Exam 2
Solutions to Math 1100 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quiz 9
- Math 5210 (Introduction to Analysis and Advanced Calculus) Click here for the syllabus.
- Math 2250 (Introduction to Differential Equations and Linear Algebra) Click here for a PDF version of this syllabus.
Solutions to Math 2250 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quiz 9; Quiz 10; Quiz 11
Solutions to Math 2250 Exams: Exam 1; Exam 2; Exam 3; Final Exam
- Math 5220 (Introduction to Analysis and Advanced Calculus) Click here for a PDF version of this syllabus.
Problem Sets: Set 1
Assignments: Assignment 1
- Math 2250(H) (Introduction to Differential Equations and Linear Algebra) Click here for the syllabus.
Solutions to Midterm Exams: Exam 1; Exam 2; Exam 3; Final Exam.
Problem Sets: Set 1; Set 2
Solutions to Math 2250(H) Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quizzes 9 & 10; Quiz 11; Quiz 12.
- Math 5210 (Introduction to Analysis and Advanced Calculus) Click here for the syllabus.
Assignments: Assignment 1; Assignment 2; Assignment 3; Assignment 4
Midterm Preparation: Midterm 1; Midterm 2; Partial Solutions to Midterm 2
Problem Sets: Set 1; Set 2; Set 3; Set 4; Set 5; Set 6; Set 7
- Math 5210 (Introduction to Analysis and Advanced Calculus) Click here for the syllabus.
Solutions to Problems on Midterm II: Click here
- Math 2270 (Introduction to Linear Algebra) Click here for the syllabus; for a PDF version, click here.
Solutions to Midterm Examinations: Exam 1; Exam 2
Solutions to Math 2270 Problems on Inner Product Spaces, etc: Click here
Solutions to Math 2270 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quizzes 9 and 10; Quiz 11; Quizzes 12 & 13.
- Math 5220 (Introduction to Analysis) Click here for the syllabus; for a PDF version, click here.
- Math 2280 (Introduction to Ordinary Differential Equations) Click here for the syllabus; for a PDF version, click here.
Solutions to Midterm Examinations: Exam 2; Final Exam
Solutions to Math 2280 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quiz 9; Quiz 10
- Math 2210 (Multivariable Calculus) Click here for the syllabus.
Fall 2003 Examinations Examination 1 (Solutions); Examination 2(a) (Solutions); Examination 2(b) (Solutions); Examination 3 (Solutions) Final Examination (Solutions)
Fall 2001 Examinations Examination 1; Examination 2; Examination 3; Final Examination (Solutions).
Other Examinations Examination 1; Examination 2; Final Examination.
Solutions to Math 2210 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quizzes 5 and 6; Quiz 7; Quiz 8; Quiz 9; Quiz 10; Quiz11
Other Math 2210 Examinations Examination 1; Examination 1; Examination 2; Examination 2; Final Examination
- Math 5210 (Introduction to Analysis and Advanced Calculus) Click here for the syllabus.
- Math 1220 (Calculus II) (Two Sections: 10:30 am and 12:30 pm) Click here for the syllabus.
Spring 2003 Examinations Examination 1 (Solutions); Examination 2 (Solutions); Examination 3 (Solutions); Final Examination (Section 4) (Solutions); Final Examination (Section 5) (Solutions).
Take the algebra and trigonometry pretest by clicking here.
Click here for the solutions to the algebra and trigonometry pretest.
Click here for the "Trigonometry Refresher" notes .
Click here for several review problems on basic integration theory .
Solutions to Math 1220 Quizzes: Quiz 1; Quiz 2; Quiz 3; Quiz 4; Quiz 5; Quiz 6; Quiz 7; Quiz 8; Quiz 9; Quiz 10; Quiz 11
Click here for some additional problems to prepare for Examination #1 . Answers to these additional problems .
Click here for some additional problems to prepare for Examination #2 . Answers to these additional problems .
Click here for some additional problems to prepare for Examination #3 . Answers to these additional problems .
Click here for some additional problems to prepare for the Final Examination . Answers to these additional problems .
- Math 2250 (Honors) (Introduction to Differential Equations and Linear Algebra) Click here for the syllabus.
Fall 2002 Examinations Examination 1 (Solutions); Examination 2 (Solutions); Examination 3 (Solutions); Final Examination (Solutions).
Fall 2001 Examinations Examination 1; Examination 2; Examination 3; Final Examination (Solutions).
Other Examinations Examination 1; Examination 2; Examination 3; Final Examination.
Other Examinations Examination 1; Examination 2; Examination 3; Final Examination. - Math 2270 (Introduction to Linear algebra) Click here for the syllabus.
Fall 2002 Examinations Examination 1 (Solutions); Examination 2 (Solutions); Examination 3 (Solutions); Final Examination; (Solutions)
Other Examinations Practice Examination 1; Practice Examination 2; Practice Examination 3 (Solutions); Practice Final Examination (Solutions to Practice Final Examination).