| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Placement Test with solution Fall 2025 | placementexam2025solutions.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Test 1 with solutions | test1solutions.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Test 2 with solutions | exam2soutions.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Test 3 with solutions | test3solutions.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Test 4 with solutions | exam4solutions.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Table of Content | calculus3_2019Content.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Chapter 1: Vectors and the Space Geometry | calculus3_2019Chp1.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Chapter 2: Vector Functions | calculus3_2019Chp2.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Chapter 3: Differentiation of Multi-variable Functions | calculus3_2019Chp3.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Chapter 4: Multiple Integrals | calculus3_2019Chp4.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Chapter 5: Vector Calculus | calculus3_2019Chp5.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Acknowledgments | calculus3_2019Acknowledgment.pdf | PDF |
| Page: "MAC 3474 Honors Calculus 3: Lectures and HW" | Solution Manual | Solution_Manual__pdfLaTeX.pdf | PDF |
| Page: "MAC 3474, Calculus III Honors: Syllabus" | Table of Content | calculus3_2019Content.pdf | PDF |
| Page: "MAC 3474, Calculus III Honors: Syllabus" | Chapter 1: Vectors and the Space Geometry | calculus3_2019Chp1.pdf | PDF |
| Page: "MAC 3474, Calculus III Honors: Syllabus" | Chapter 2: Vector Functions | calculus3_2019Chp2.pdf | PDF |
| Page: "MAC 3474, Calculus III Honors: Syllabus" | Chapter 3: Differentiation of Multi-variable Functions | calculus3_2019Chp3.pdf | PDF |
| Page: "MAC 3474, Calculus III Honors: Syllabus" | Chapter 4: Multiple Integrals | calculus3_2019Chp4.pdf | PDF |
| Page: "MAC 3474, Calculus III Honors: Syllabus" | Chapter 5: Vector Calculus | calculus3_2019Chp5.pdf | PDF |
| Page: "MAC 3474, Calculus III Honors: Syllabus" | Acknowledgments | calculus3_2019Acknowledgment.pdf | PDF |
| Page: "MAC 3474, Calculus III Honors: Syllabus" | the placement test for the class of 2024 | placementexam2024solutions.pdf | PDF |
| Page: "MAP 4305/5304 Intermediate Differential Equations. Lectures and Homework." | Test 1 with Solutions | exam1solutions.pdf | PDF |
| Page: "MAP 4305/5304 Intermediate Differential Equations. Lectures and Homework." | Test 2 | Exam2.pdf | PDF |
| Page: "MAP 4305/5304 Intermediate Differential Equations. Lectures and Homework." | Solutions | Exam2solutions.pdf | PDF |
| Page: "MAP 4305/5304 Intermediate Differential Equations. Lectures and Homework." | Test 3 | Exam3.pdf | PDF |
| Page: "MAP 4305/5304 Intermediate Differential Equations. Lectures and Homework." | Solutions | Exam3solutions.pdf | PDF |
| Page: "MAP 4305/5304 Intermediate Differential Equations. Lectures and Homework." | Test 4 | Exam4.pdf | PDF |
| Page: "MAP 4305/5304 Intermediate Differential Equations. Lectures and Homework." | Solutions | Exam4solutions.pdf | PDF |
| Page: "MAP 4305/5304 Intermediate Differential Equations. Lectures and Homework." | Exam 5 | Exam5.pdf | PDF |
| Page: "MAP 4305/5304 Intermediate Differential Equations. Lectures and Homework." | Solutions | Exam5solutions.pdf | PDF |
| Page: "Calculus Textbooks" | Table of Content | calculus1title.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 1: Functions | calculus1ch1.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 2: Limits and Derivatives | calculus1ch2.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 3: Rules of Differentiation | calculus1ch3.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 4: Applications of Differentiation | calculus1ch4.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 5: Integration | calculus1ch5.pdf | PDF |
| Page: "Calculus Textbooks" | Selected Answers to Exercises | calculus1ch5.pdf | PDF |
| Page: "Calculus Textbooks" | Concepts in Calculus II (2014) | calc2_2014.pdf | PDF |
| Page: "Calculus Textbooks" | Table of Content | calculus3_2019Content.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 1: Vectors and the Space Geometry | calculus3_2019Chp1.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 2: Vector Functions | calculus3_2019Chp2.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 3: Differentiation of Multi-variable Functions | calculus3_2019Chp3.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 4: Multiple Integrals | calculus3_2019Chp4.pdf | PDF |
| Page: "Calculus Textbooks" | Chapter 5: Vector Calculus | calculus3_2019Chp5.pdf | PDF |
| Page: "Calculus Textbooks" | Acknowledgments | calculus3_2019Acknowledgment.pdf | PDF |
| Page: "MAP 6506, Mathematical Methods for Physics and Engineering II, Lecture Topics and HW" | Integration in Euclidean Spaces | MathPhysicsWSPC2026CH1.pdf | PDF |
| Page: "MAP 6506, Mathematical Methods for Physics and Engineering II, Lecture Topics and HW" | Distributions | MathPhysicsWSPC2026CH2.pdf | PDF |
| Page: "MAP 6506, Mathematical Methods for Physics and Engineering II, Lecture Topics and HW" | Calculus with Distributions | MathPhysicsWSPC2026CH3.pdf | PDF |
| Page: "MAP 6506, Mathematical Methods for Physics and Engineering II, Lecture Topics and HW" | Convolution and Fourier Transform | MathPhysicsWSPC2026CH4.pdf | PDF |
| Page: "MAP 6506, Mathematical Methods for Physics and Engineering II, Lecture Topics and HW" | Applications to PDEs | MathPhysicsWSPC2026CH5.pdf | PDF |
| Page: "MAP 6506, Mathematical Methods for Physics and Engineering II, Lecture Topics and HW" | The Contraction Principle and Integral Equations | MathPhysicsWSPC2026CH6.pdf | PDF |
| Page: "MAP 6506, Mathematical Methods for Physics and Engineering II, Lecture Topics and HW" | Hilbert spaces | MathPhysicsWSPC2026CH7.pdf | PDF |
| Page: "MAP 6506, Mathematical Methods for Physics and Engineering II, Lecture Topics and HW" | Operators in a Hilbert space | MathPhysicsWSPC2026CH8.pdf | PDF |
| Page: "MAP 4341/5345 Introduction to PDEs, Lecture topics and HW" | Preliminaries | LecturesPDEChp1.pdf | PDF |
| Page: "MAP 4341/5345 Introduction to PDEs, Lecture topics and HW" | First-order PDEs | LecturesPDEChp2.pdf | PDF |
| Page: "MAP 4341/5345 Introduction to PDEs, Lecture topics and HW" | Classification of second-order PDEs | LecturesPDEChp3-1.pdf | PDF |
| Page: "MAP 4341/5345 Introduction to PDEs, Lecture topics and HW" | The Cauchy problem for 2D PDEs | LecturesPDEChp4.pdf | PDF |
| Page: "MAP 4341/5345 Introduction to PDEs, Lecture topics and HW" | 2D Laplace and Poisson equations | LecturesPDEChp5.pdf | PDF |
| Page: "MAP 4341/5345 Introduction to PDEs, Lecture topics and HW" | Fourier method for 2D PDEs | LecturesPDEChp6.pdf | PDF |
| Page: "MAP 4341/5345 Introduction to PDEs, Lecture topics and HW" | Fourier method in higher dimensions | LecturesPDEChp7.pdf | PDF |
| Page: "MAP 6505 Mathematical Methods in Physics I: Lecture Topics" | Solutions | MP1Solutions.pdf | PDF |
| Page: "MAP 6505 Mathematical Methods in Physics I: Lecture Topics" | Assignment 2 | MP2.pdf | PDF |
| Page: "MAP 6505 Mathematical Methods in Physics I: Lecture Topics" | Integration in Euclidean spaces | MathPhysicsWSPC2025Chapter1.pdf | PDF |
| Page: "MAP 6505 Mathematical Methods in Physics I: Lecture Topics" | Distributions | MathPhysicsWSPC2025Chapter2.pdf | PDF |
| Page: "MAP 6505 Mathematical Methods in Physics I: Lecture Topics" | Calculus with distributions | MathPhysicsWSPC2025Chapter3.pdf | PDF |
| Page: "MAP 6505 Mathematical Methods in Physics I: Lecture Topics" | Convolution and the Fourier transform | MathPhysicsWSPC2025Chp4.pdf | PDF |
| Page: "MAP 6505 Mathematical Methods in Physics I: Lecture Topics" | Green's functions for differential operators | MathPhysicsWSPC2025Chapter5.pdf | PDF |