# Undergraduate Program

## Starting at Howard or transferring courses?

## Mathematics Placement Exam and Transfer Credit

It is essential that every student taking a mathematics course at Howard University be placed in a course commensurate with the student's level of mathematical preparation. For this purpose, the Department of Mathematics administers a **Mathematics Placement Examination** each August and each January. Each student entering Howard University, planning to take a mathematics course at any time while at the University, should take the Mathematics Placement Examination at the time of entrance into the University.

Students planning to transfer mathematics credits from another university should also take the Mathematics Placement Examination when entering Howard University to guarantee efficient evaluation of previous mathematical work. For more information, please visit the New Student Orientation and Transitions page and scroll down to "Math and Language Placement."

## Thinking of studying math at Howard?

## Undergraduate Program

The Department of Mathematics offers courses leading to a major in mathematics with several concentrations, as well as a minor in mathematics.

## Major in Mathematics

If you are interested in mathematics as a major:

- a concentration in
**actuarial science**prepares you for the foundations of actuarial practice, which involves statistically calculating risks, premiums, etc. for insurance.

- a concentration in
**mathematics education**prepares you for teaching mathematics at the elementary and secondary level.

- a concentration in
**pre-medical/pre-dental studies**prepares you for a future course of professional studies in a medical or dentistry program.

- concentrations in
**pure mathematics**and**applied mathematics**, the more traditional courses of study, ordinarily attract students who expect to pursue higher degrees in mathematics, as well as those preparing for careers as mathematicians in industry and government.

For a sample of prospective mathematical careers, please see the Careers and Employment page of the American Mathematical Society.

## Senior Comprehensive Examination

To graduate with a major in mathematics, a student must pass the Senior Comprehensive Examination.

Students preparing to take the senior comprehensive should fill out and submit an ** Intent Form** at least one week before the scheduled exam.

In preparation for the exam, students should review the syllabus for the exam.

A sample of past Senior Comprehensive Examinations can be obtained by following the links below.

- Fall 2014 Senior Comprehensive Exam and Solutions
- Spring 2014 Senior Comprehensive Exam and Solutions
- Fall 2013 Senior Comprehensive Exam and Solutions
- Fall 2012 Senior Comprehensive Exam
- Spring 2011 Senior Comprehensive Exam
- Fall 2010 Senior Comprehensive Exam
- Fall 2009 Senior Comprehensive Exam
- Spring 2009 Senior Comprehensive Exam

## Minor in Mathematics

The minor program in mathematics provides students with a foundation in real and multi-dimensional calculus so that they may understand applications using calculus, differential equations, linear algebra, or statistics in business, economics, and the sciences.

To obtain a minor in mathematics, a student must take the calculus sequence (MATH-156, MATH-157, MATH-158); Proof & Problem Solving I (MATH-101); and either differential equations (MATH-159), linear algebra (MATH-180) or one other higher level course.

## Course requirements by concentration and example 4-year sequences

## Actuarial Science

**Mathematics Requirements:**

MATH 101, Proof and Problem Solving I (1 cr)

MATH 102, Proof and Problem Solving II (1 cr)

MATH 156, Calculus I (4 cr)

MATH 157, Calculus II (4 cr)

MATH 158, Calculus III (4 cr)

MATH 164, Intro to Numerical Analysis (3 cr)

MATH 180, Intro to Linear Algebra (3 cr)

MATH 189, Probability & Statistics I (3 cr)

MATH 190, Probability & Statistics II (3 cr)

MATH 195, Intro to Analysis I (3 cr)

MATH 168, Actuarial Science Lab I (1 cr)

MATH 193, Actuarial Science Seminar (3 cr)

**plus** **one course chosen from the following:**

MATH 160, Advanced Calculus for Science & Engineering (3 cr)

MATH 196, Intro to Analysis II (3 cr)

MATH 197, Intro to Modern Algebra I (3 cr)

MATH 199, Intro to Topology (3 cr)

**Total required math credits: 36**

**Computer Science Requirements:**

CSCI 100, Intro to Computer Science (2 cr.)

CSCI 135, Computer Science I (4 cr)

**Economics Requirements:**

ECON 001, Principles of Economics I (3 cr)

ECON 002, Principles of Economics II (3 cr)

**Very Strongly Recommended:**

ACCT 201, Accounting Principles I (3 cr)

##### Example 4-year sequence

FRESHMAN YEARFirst SemesterCourse Title Course No. CreditsCalculus I 156 4 Intro to CSCI 100 3 Freshman English I 3 Division A* 3 Freshman Seminar 001 1 HHPL (swimming) 1 Total Credits 15 Cumulative Total 15Second SemesterCourse Title Course No. CreditsCalculus II 157 4 Proof & Prob Solv I 101 1 CSCI I 135 4 Freshman English II 3 General Elective 3 Total Credits 15 Cumulative Total 30SOPHOMORE YEARFirst SemesterCourse Title Course No. CreditsCalculus III 158 4 Proof & Prob Solv II 102 1 General Elective 3 Division A* 3 Foreign Language 4 Total Credits 15 Cumulative Total 45Second SemesterCourse Title Course No. CreditsIntro Num Analysis** 164 3 Linear Algebra 180 3 Philosophy 3 Foreign Language 4 Speech (HUCO) 101 3 Total Credits 16 Cumulative Total 61JUNIOR YEARFirst SemesterCourse Title Course No. CreditsProb & Stat I 189 3 Intro to Analysis 795 3 Economics (Division C) 001 3 Foreign Language 3 General Elective 3 Total Credits 15 Cumulative Total 76Second SemesterCourse Title Course No. CreditsProb & Stat II 190 3 Economics (Division C) 002 3 Division B* 3 General Elective 3 Foreign Language 3 Total Credits 15 Cumulative Total 91SENIOR YEARFirst SemesterCourse Title Course No. CreditsActuarial Science Lab 168 1 Math Elective 3 Accounting 201 3 Division B* 3 General Elective 3 HHPL 1 Total Credits 14 Cumulative Total 105Second SemesterCourse Title Course No. CreditsActuarial Sci Seminar 193 3 Math Elective 3 General Elective 4 General Elective 4 HHPL 1 Total Credits 15 Cumulative Total 120

**Notes:**

*Students should complete one of their divisional requirements within the African-American course cluster.

**Unless the instructor permits an exception, this course requires 159 as a prerequisite.

## Applied Mathematics

**Mathematics Requirements:**

MATH 101, Proof & Problem Solving I (1cr)

MATH 102, Proof & Problem Solving II (1cr)

MATH 156, Calculus I (4 cr)

MATH 157, Calculus II (4 cr)

MATH 158, Calculus III (4 cr)

MATH 159, Differential Equations (4 cr)

MATH 160, Advanced Calculus for Science & Engineering (3 cr)

MATH 164, Introduction to Numerical Analysis (3 cr)

MATH 180, Introduction to Linear Algebra (3 cr)

MATH 189, Probability & Statistics I (3 cr)

MATH 195, Introduction to Analysis I (3 cr)

*A minor should be completed in Computer Science, Economics, Biology, Chemistry, Physics, or Business, or another field approved by the department.*

**Mathematics Electives (choose at least 2):**

*Recommended Mathematics Electives, if not required in the Area of Concentration:*

MATH 160, Advanced Calculus for Science & Engineering (3 cr)

MATH 181, Discrete Structures (3 cr)

MATH 183, Intermediate Differential Equations (3 cr)

MATH 185, Introduction to Complex Analysis (3 cr)

MATH 186, Introduction to Differential Geometry (3 cr)

MATH 190, Probability & Statistics II (3 cr)

MATH 191, Foundation of Applied Mathematics (3 cr)

MATH 192, Topics in Applied Mathematics (3 cr)

MATH 196, Introduction to Analysis II (3 cr) *– when offered*

*Other Mathematics Electives:*

MATH 184, Introduction to Number Theory (3 cr)

MATH 187, Introduction to Algebraic Topology (3 cr)

MATH 194, Introduction to Set Theory (3 cr)

MATH 197, Introduction to Modern Algebra I (3 cr)

MATH 198, Introduction to Modern Algebra II (3 cr)

MATH 199, Introduction to General Topology (3 cr)

**Total required math credits: 39**

**Computer Science Requirements:**

CSCI 100, Introduction to Computer Science (1 cr)

CSCI 135, Computer Science I (4 cr)

##### Example 4-year sequence

FRESHMAN YEARFirst SemesterCourse Title Course No. CreditsCalculus I 156 4 Intro to CSCI 100 3 Freshman English I 3 Division A* 3 Freshman Seminar 001 1 HHPL (swimming) 1 Total Credits 15 Cumulative Total 15Second SemesterCourse Title Course No. CreditsCalculus II 157 4 Proof & Prob Solv I 101 1 CSCI I 135 4 Freshman English II 3 General Elective 3 Total Credits 15 Cumulative Total 30SOPHOMORE YEARFirst SemesterCourse Title Course No. CreditsCalculus III 158 4 Proof & Prob Solv II 102 1 Intro to Analysis 795 3 Division A* 3 Foreign Language 4 Total Credits 15 Cumulative Total 45Second SemesterCourse Title Course No. CreditsDiff Equations 159 4 Linear Algebra 180 3 Philosophy 3 Foreign Language 4 HHPL 1 Total Credits 15 Cumulative Total 60JUNIOR YEARFirst SemesterCourse Title Course No. CreditsProb & Stat I 189 3 General Elective 3 Division C 3 Foreign Language 3 Speech (HUCO) 101 3 Total Credits 15 Cumulative Total 75Second SemesterCourse Title Course No. CreditsIntro Num Analysis** 164 3 Specialization Course 3 Division B* 3 General Elective 3 Foreign Language 3 Total Credits 15 Cumulative Total 90SENIOR YEARFirst SemesterCourse Title Course No. CreditsMath Elective 3 Division B* 3 Specialization Course 3 Specialization Course 3 Specialization Course 4 Total Credits 16 Cumulative Total 106Second SemesterCourse Title Course No. CreditsMath Elective 3 Division C 3 Specialization Course 3 General Elective 4 HHPL 1 Total Credits 14 Cumulative Total 120

**Notes:**

*Students should complete one of their divisional requirements within the African-American course cluster.

**Unless the instructor permits an exception, this course requires 159 as a prerequisite.

***Students should seek advisement early for choosing specialization courses.

## Mathematics Education

**Mathematics Requirements:**

MATH 101, Proof & Problem Solving I (1cr)

MATH 102, Proof & Problem Solving II (1cr)

MATH 156, Calculus I (4 cr)

MATH 157, Calculus II (4 cr)

MATH 158, Calculus III (4 cr)

MATH 150, Modern Geometry (3 cr)

MATH 180, Introduction to Linear Algebra (3 cr)

MATH 181, Discrete Structures (3 cr)

MATH 189, Probability & Statistics I (3 cr)

MATH 195, Introduction to Analysis I (3 cr)

**plus one course chosen from the following:**

MATH 164, Numerical Analysis (3 cr)

MATH 184, Number Theory (3 cr)

MATH 190, Probability & Statistics II (3 cr)

MATH 197, Introduction to Modern Algebra I (3 cr)

**Total required math credits: 32**

**Computer Science Requirements:**

CSCI 100, Intro to Computer Science (2 cr)

CSCI 135, Computer Science I (4 cr)

**Education Requirements:****(course are to be taken in the order listed)**

EDUC 210, Foundations of Urban Education (3 cr)

EDUC 310, Educational Psychology and Special Education (3 cr)

EDUC 410, Pedagogy & Content Literacy (3 cr)

EDUC 450, Internship & Classroom Management (9-12 cr)

*In addition, the Praxis I exam should be taken by the end of the sophomore year and the Praxis II exam must be taken before doing student teaching.*

##### Example 4-year sequence

FRESHMAN YEARFirst SemesterCourse Title Course No. CreditsCalculus I 156 4 Intro to CSCI 100 3 Freshman English I 3 Division A* 3 Freshman Seminar 001 1 HHPL (swimming) 1 Total Credits 15 Cumulative Total 15Second SemesterCourse Title Course No. CreditsCalculus II 157 4 Proof & Prob Solv I 101 1 Freshman English II 3 Division A* 3 HHPL 1 General Elective 2 Total Credits 14 Cumulative Total 29SOPHOMORE YEARFirst SemesterCourse Title Course No. CreditsCalculus III 158 4 Proof & Prob Solv II 102 1 Modern Geometry 150 3 Education 210 3 Foreign Language 3 HHPL 1 Total Credits 15 Cumulative Total 44Second SemesterCourse Title Course No. CreditsLinear Algebra 180 3 CSCI I 135 4 Division B* 3 Foreign Language 3 Speech (HUCO) 101 3 Total Credits 16 Cumulative Total 60JUNIOR YEARFirst SemesterCourse Title Course No. CreditsIntro to Analysis 795 3 Education 310 3 Foreign Language 3 General Elective 3 General Elective 3 Total Credits 15 Cumulative Total 75Second SemesterCourse Title Course No. CreditsDiscrete Structures 181 3 Philosophy 3 Division B* 3 General Elective 3 Foreign Language 3 Total Credits 15 Cumulative Total 90SENIOR YEARFirst SemesterCourse Title Course No. CreditsProb & Stat I 189 3 Education 410 3 Division C 3 Math Elective 3 General Elective 3 Total Credits 15 Cumulative Total 105Second SemesterCourse Title Course No. CreditsEducation 450 12 Division C 3 Total Credits 15 Cumulative Total 120

**Notes:**

In addition, the **Praxis I** exam should be taken by the end of the sophomore year and the **Praxis II** exam must be taken before doing student teaching.

*Students should complete one of their divisional requirements within the African-American course cluster.

## Pre-med / Pre-dental

**Mathematics Requirements:**

MATH 101, Proof & Problem Solving I (1cr)

MATH 102, Proof & Problem Solving II (1cr)

MATH 156, Calculus I (4 cr)

MATH 157, Calculus II (4 cr)

MATH 158, Calculus III (4 cr)

MATH 159, Differential Equations (4 cr)

MATH 160, Advanced Calculus for Science & Engineering (3 cr)

MATH 164, Introduction to Numerical Analysis (3 cr)

MATH 180, Introduction to Linear Algebra (3 cr)

MATH 189, Probability & Statistics I (3 cr)

MATH 190, Probability & Statistics II (3 cr)

MATH 195, Introduction to Analysis I (3 cr)

**Total required math credits: 36**

**Required supporting courses (pre-med):**

CSCI 135, Computer Science I (4 cr)

BIOL 101, Intro Biology I (4 cr)

BIOL 102, Intro Biology II (4 cr)

CHEM 003 & 005 (lab), Gen Chem I (5 cr)

CHEM 004 & 006 (lab), Gen Chem II (5 cr)

CHEM 141, Organ Chem I (3 cr)

CHEM 142, Organ Chem II (3 cr)

CHEM 145, Organ Chem Lab (3 cr)

CHEM 151, Biochemistry (3 cr) – *recommended*

PHYS 001, Intro to Physics I (4 cr)

PHYS 002, Intro to Physics II (4 cr)

**Required supporting courses (pre-dental):**

CSCI 135, Computer Science I (4 cr)

BIOL 101, Intro to Biology I (4 cr)

BIOL 102, Intro to Biology II (4 cr)

BIOL 252, Comparative Anatomy of Vertebrates (3 cr)

CHEM 003 & 005 (lab), Gen Chem I (5 cr)

CHEM 004 & 006 (lab), Gen Chem II (5 cr)

CHEM 141, Organ Chem I (3 cr)

CHEM 142, Organ Chem II (3 cr)

CHEM 145, Organ Chem Lab (3 cr)

CHEM 151, Biochemistry (3 cr) – *recommended*

PHYS 001, Intro to Physics I (4 cr)

PHYS 002, Intro to Physics II (4 cr)

##### Example 4-year sequence

FRESHMAN YEARFirst SemesterCourse Title Course No. CreditsCalculus I 156 4 Biology I 101 4 Chemistry I 4 Chemistry Lab 1 Freshman English I 3 Freshman Seminar 001 1 Total Credits 17 Cumulative Total 17Second SemesterCourse Title Course No. CreditsCalculus II 157 4 Proof & Prob Solv I 101 1 Biology II 135 4 Chemistry II 4 Chemistry Lab 1 Freshman English II 3 Total Credits 17 Cumulative Total 34SOPHOMORE YEARFirst SemesterCourse Title Course No. CreditsCalculus III 158 4 Proof & Prob Solv II 102 1 Organic Chemistry I 3 Organic Chemistry Lab 3 Foreign Language 3 HHPL (swimming) 1 Total Credits 15 Cumulative Total 49Second SemesterCourse Title Course No. CreditsDiff Equations 159 4 Organic Chemistry II 3 Philosophy 3 Foreign Language 3 HHPL 1 Total Credits 14 Cumulative Total 63JUNIOR YEARFirst SemesterCourse Title Course No. CreditsIntro to Analysis 795 3 Physics I & Lab 5 Division C 3 Foreign Language 4 Div. B*/Biochem. I^{1}151 3 HHPL 1 Total Credits 16 Cumulative Total 79Second SemesterCourse Title Course No. CreditsIntro Num Analysis** 164 3 Linear Algebra 180 3 Physics II & Lab 5 Div. A*/Biochem. II^{1}152 3 Foreign Language 3 Total Credits 17 Cumulative Total 96SENIOR YEARFirst SemesterCourse Title Course No. CreditsProb & Stat I 189 3 Advanced Calculus 160 3 Division B* 3 Div. A*/Comp. Anat. I^{1}252 3 Total Credits 12 Cumulative Total 108Second SemesterCourse Title Course No. CreditsProb & Stat II 190 3 Division C 3 Division A* 3 Speech (HUCO) 101 3 Total Credits 12 Cumulative Total 120

**Notes:**

**Unless the instructor permits an exception, this course requires 159 as a prerequisite.

^{1}Pre-dental students only, or premed whose med schools require it.

## Pure Mathematics

**Mathematics Requirements:**

MATH 101, Proof & Problem Solving I (1cr)

MATH 102, Proof & Problem Solving II (1cr)

MATH 156, Calculus I (4 cr)

MATH 157, Calculus II (4 cr)

MATH 158, Calculus III (4 cr)

MATH 159, Differential Equations (4 cr)

MATH 180, Introduction to Linear Algebra (3 cr)

MATH 185, Introduction to Complex Analysis (3 cr)

MATH 195, Introduction to Analysis I (3 cr)

MATH 196, Introduction to Analysis II (3 cr)

MATH 197, Introduction to Modern Algebra I (3 cr)

MATH 199, Introduction to Topology (3 cr)

**plus one course from the following**:

MATH 160, Advanced Calculus for Science & Engineering (3 cr)

MATH 164, Introduction to Numerical Analysis (3 cr)

MATH 184, Introduction to Number Theory (3 cr)

MATH 186, Introduction to Differential Geometry (3 cr)

MATH 189, Probability & Statistics I (3 cr)

MATH 191, Foundations of Applied Mathematics (3 cr)

MATH 198, Introduction to Modern Algebra II (3 cr)

**Total required math credits: 39**

*Very Strongly Recommended:*

CSCI 100, Introduction to Computer Science (2 cr)

CSCI 135, Computer Science I (4 cr)

##### Example 4-year sequence

FRESHMAN YEARFirst SemesterCourse Title Course No. CreditsCalculus I 156 4 Intro to CSCI 100 3 Freshman English I 3 Division A* 3 Freshman Seminar 001 1 HHPL (swimming) 1 Total Credits 15 Cumulative Total 15Second SemesterCourse Title Course No. CreditsCalculus II 157 4 Proof & Prob Solv I 101 1 CSCI I 135 4 Freshman English II 3 Division A* 3 Total Credits 15 Cumulative Total 30SOPHOMORE YEARFirst SemesterCourse Title Course No. CreditsCalculus III 158 4 Proof & Prob Solv II 102 1 Foreign Language 3 General Elective 3 General Elective 3 HHPL 1 Total Credits 15 Cumulative Total 45Second SemesterCourse Title Course No. CreditsLinear Algebra 180 3 Philosophy 3 Foreign Language 3 Speech (HUCO) 101 3 General Elective 3 Total Credits 15 Cumulative Total 60JUNIOR YEARFirst SemesterCourse Title Course No. CreditsIntro to Mod Algebra 197 3 Intro to Analysis I 795 3 General Elective 3 General Elective 3 Foreign Language 3 Total Credits 15 Cumulative Total 75Second SemesterCourse Title Course No. CreditsDiff Equations 159 4 Intro to Analysis II 196 3 Division B* 3 Foreign Language 3 General Elective 3 Total Credits 16 Cumulative Total 91SENIOR YEARFirst SemesterCourse Title Course No. CreditsTopology 199 3 Math Elective 3 Division B* 3 Division C 3 HHPL 1 Total Credits 13 Cumulative Total 104Second SemesterCourse Title Course No. CreditsIntro to Complex 185 3 Division C 3 General Elective 4 General Elective 3 General Elective 3 Total Credits 16 Cumulative Total 120

**Notes:**

## Minor in Mathematics

**Requirements:**

MATH 101, Proof & Problem Solving I (1cr)

MATH 156, Calculus I (4 cr)

MATH 157, Calculus II (4 cr)

MATH 158, Calculus III (4 cr)

**plus one other course chosen from the following:**

MATH 159, Differential Equations (4 cr)

MATH 160, Advanced Calculus for Science & Engineering (3 cr)

MATH 164, Introduction to Numerical Analysis (3 cr)

MATH 180, Introduction to Linear Algebra (3 cr)

MATH 183, Intermediate Differential Equations (3 cr)

MATH 185, Introduction to Complex Analysis (3 cr)

MATH 186, Introduction to Differential Geometry (3 cr)

MATH 189, Probability & Statistics I (3 cr)

MATH 190, Probability & Statistics II (3 cr)

MATH 191, Foundation of Applied Mathematics (3 cr)

MATH 195, Introduction to Analysis I (3 cr)

MATH 196, Introduction to Analysis II (3 cr)

MATH 197, Introduction to Modern Algebra (3 cr)