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Math Students' Handbook
Introduction
Careers for Math Majors
Advice for Planning Your Program
4-Year Planning Sheets
Student Involvement
Faculty
Advice for Planning Your Program
The following pages contain sample planning sheets which outline various options for a mathematics major. The programs include all general education and major requirements as well as certain electives which are recommended for all students. They provide an optimal sequence of courses in order to promote a broad, coherent, developmental mathematics experience. The programs can, of course, be adapted to individual needs, in consultation with your advisor.
The first two years build upon skills learned in high school. The calculus sequence will be completed and you will be introduced to abstract reasoning, statistics and mathematical modeling. Computational skill, problem solving/real world applications, communication and logical reasoning are emphasized. Introduction to Abstract Mathematics is specifically designed to foster good reasoning and communication skills by focusing on the techniques and writing of mathematical proofs. "Proof" is one of the hallmarks of mathematics and its presence increases in upper level courses. Linear Algebra provides an appropriate bridge because of its twin focus on computation and proof.
The junior and senior years build on the mathematical skill and maturity gained in the first two years. In the junior year there are two key courses which are the foundation of abstract mathematics and in them emphasis on proof comes to a climax. Modern Algebra generalizes the high school algebra of addition/multiplication of real numbers to other operations on other sets. Intermediate Analysis re-examines the topics of calculus and provides modern rigorous proofs of its results. Development in the computational and applied areas is continued through the Probability/Statistics sequence which is strongly recommended for all students because of the pervasiveness of statistics in a variety of professional fields. In the junior and senior year, electives should be chosen in consultation with your advisor to broaden your mathematical experience and to focus on areas of particular interest. Independent studies and co-op experiences can be very helpful in this regard.
The following table summarizes course requirements in Teacher Education for students seeking certification in Elementary Education (El.Ed.), Middle/Junior High School Math (MS), and Secondary (Sec). For each of the certification options, there are specific requirements. The table also gives the semester and year when the courses should be taken. Check the college catalog for course descriptions.
|
Fall |
Spring |
| First Year |
ESEC 100 ALL |
ESEC 150 ALL |
| Sophomore |
ESEC 250 ALL |
ESEC 281 El.Ed. ESEC 282 MS, Sec. |
| Junior |
ESEC 320 ALL SPED 301 El.Ed. |
ESEC 382 El.Ed., MS ESEC 383 El.Ed. |
| Senior |
*ESEC 384* MS. ESEC 385* Sec. ESEC 386 ALL ESEC 387 MS, El.Ed. SPED 420 El.Ed./Sp, Sec/Sp SPED 430 El.Ed/Sp SPED 439 Sec/Sp VE 403 Sec/Sp* Fall Only |
ESEC 450 ALL ESEC 460 El.Ed, MS, Sec. ESEC 465 El.Ed./Sp, Sec/Sp SPED 465 El.Ed/Sp, Sec/Sp |
Sample 4-Year Planning Sheets
OPTION: Secondary Education Certification
OPTION: Middle School Certification
OPTION: Elementary School Certification
OPTION: Applied Math
OPTION: Pure Math
OPTION: Secondary Education Certification
| First Year |
|
|
|
Fall |
Spring |
|
Math 130 Precalculus ...or...
Math 151 Calculus I
Math 141 Introductory Statistics
CS 140 Computer Programming I
ENG 101 Essay Writing
ESEC 100 Introduction to Teaching
|
Math 151 Calculus I ...or...
Math 152 Calculus II
Math 265 Math Modeling
ESEC 150 Dev, Excep.,& Learning I
GEN ED Biology
GEN ED
|
|
|
|
| Sophomore |
|
|
|
Fall |
Spring |
|
Math 152 Calculus II ...or...
Math 251 Multivariate Calculus
Math 225 Intro to Abstract Math
ESEC 250 Dev, Excep.,& Learning II
GEN ED
GEN ED
|
Math 332 Linear Algebra
Math 251 Multivariate Calculus ...or...
Elective
Phys 241 University Physics I
ESEC 282 Literacy in the Content Areas
GEN ED
|
|
|
|
| Junior |
|
|
|
Fall |
Spring |
|
Math 331 Modern Algebra
Math 341 Mathematical Probability
ESEC 320 Education Envirn/Practices
GEN ED
GEN ED
|
Math 351 Intermediate Analysis
Elective
GEN ED
GEN ED
GEN ED
|
|
|
| Senior |
|
Fall |
Spring |
|
Math 310 History of Mathematics
Math 320 Geometry
Math 475 Issues in Math ED
ESEC 385 Methods: Secondary
ESEC 386 Methods: Field Experience
|
ESEC 450 Seminar: Educational Princples*
ESEC 460 Student Teaching
Note: For certification Gen Ed's must incude a US History and a geography course.
*Taken concurrently with student teaching
|
OPTION: Middle School Certification
| First Year |
|
|
|
Fall |
Spring |
|
Math 130 Precalculus ...or...
Math 151 Calculus I
Math 141 Introductory Statistics
CS 140 Computer Programming I
ENG 101 Essay Writing
ESEC 100 Introduction to Teaching
|
Math 151 Calculus I ...or...
Math 152 Calculus II
Math 265 Math Modeling
ESEC 150 Dev, Excep.,& Learning I
GEN ED Biology
GEN ED
*Recommended math elective
|
|
|
|
| Sophomore |
|
|
|
Fall |
Spring |
|
Math 152 Calculus II ...or...
Math Elective(eg. Math 251)
Math 225 Intro to Abstract Math
ESEC 250 Dev, Except. & Learn II
GEN ED
GEN ED
|
Math 332 Linear Algebra
Math 275 Geometry K-9
Phys 241 University Physics I
ESEC 282 Literacy Content Areas
GEN ED
|
|
|
|
| Junior |
|
|
|
Fall |
Spring |
|
Math 331 Modern Algebra* ...or...
Math 320 Geometry* ...or...
Math Elective#
Math 235 Discrete Math
ESEC 320 Ed. Environ. & Practices
GEN ED
GEN ED
GEN ED
*one of these 3 is required
#Math electives must be at 200/300 level
|
Math 337 Number Theory* ...or...
Math Elective#
Math 371 Math/ Middle School
GEN ED
GEN ED
GEN ED
|
|
|
| Senior |
|
Fall |
Spring |
|
Math 310 History of Math
Math 475 Issues in Math Education
ESEC 384 Methods: Middle School
ESEC 386 Methods: Field Experience
ESEC 387 Creating Social Contexts for Learning
|
450 Seminar: Educational Principles
460 Student Teaching
|
OPTION: Elementary School Certification
| First Year |
|
|
|
Fall |
Spring |
|
Math 130 Precalculus ...or...
Math 151 Calculus I
Math 141 Introductory Statistics
CS 140 Computer Programming I
ENG 101 Essay Writing
ESEC 100 Introduction to Teaching
|
Math 151 Calculus I ...or...
Math 152 Calculus II
Math 265 Math Modeling
ESEC 150 Dev, Excep.,& Learning I
Math 171 Structure of Number Systems
GEN ED
|
|
|
|
| Sophomore |
|
|
|
Fall |
Spring |
|
Math 152 Calculus II ...or...
Math 235 Discrete Math ...or...
Math Elective
Math 225 Intro to Abstract Math
Math 172 Application of Number Systems
ESEC 250 Dev, Execpt and Learning II
GEN ED
|
Math 332 Linear Algebra
Math 275 Geometry K-9
Phys 241 University Physics I
ESEC 281 Merging/Evolving Literacy
GEN ED
|
|
|
|
| Junior |
|
|
|
Fall |
Spring |
|
Math 331 Modern Algebra* ...or...
Math 320 Geometry* ...or...
Math Elective
ESEC 320 Ed Environ/Practices
GEN ED
GEN ED
GEN ED
*one of these three is required
|
Math 337 Number Theory* ...or...
Math Elective
GEN ED
GEN ED
GEN ED
GEN ED
|
|
|
| Senior |
|
Fall |
Spring |
|
Math 320 History of Math ...or...
Math 475 Issues in Math ED ...or...
Math Elective
ESEC 382 Methods: Primary
ESEC 383 Methods: Intermediate
ESEC 386 Methods: Field Experience
ESEC 387 Creating Social Contexts for Learning
|
ESEC 450 Seminar:Educational Principles*
ESEC 460 Student Teaching
*Taken concurrently with student teaching
|
OPTION: Applied Math
| First Year |
|
|
|
Fall |
Spring |
|
Math 130 Precalculus ...or...
Math 151 Calculus I
Math 141 Introductory Statistics
CS 140 Computer Programming I
ENG 101 Essay Writing
GEN ED
|
Math 151 Calculus I ...or...
Math 152 Calculus II
Math 265 Math Modeling
MATH 242 Applied Statistics ...or...
MATH260 Numerical Methods*
GEN ED
GEN ED
* is a co-requisite
|
|
|
|
| Sophomore |
|
|
|
Fall |
Spring |
|
Math 152 Calculus ...or...
Math 251 Multivariate Calculus
Math 225 Intro to Abstract Math
GEN ED
GEN ED
GEN ED
|
Math 332 Linear Algebra
Math 251 Multivariate Calculus ...or...
Math 361 Differential Equations
Phys 241 University Physics I
GEN ED
GEN ED
|
|
|
|
| Junior |
|
|
|
Fall |
Spring |
|
Math 331 Modern Algebra
Math 341 Probability
Math 468 Intro to Applied Math* ..or...
Math 453 Complex Variables*
GEN ED
GEN ED
|
Math 342 Mathematical Statistics*
Elective ...or...
Math 361 Differential Equations (if started w/ precalc)
GEN ED
GEN ED
*Take two out of three.
|
|
|
| Senior |
|
Fall |
Spring |
|
Math 468 Intro to Applied Math* ...or...
Math 453 Complex Variables*
Elective
Elective
Elective
|
Electives
Note: Those who start with Precalculus should take
Differential Equations in the spring of their Junior year.
|
OPTION: Pure Math
| First Year |
|
|
|
Fall |
Spring |
|
Math 130 Precalculus ...or...
Math 151 Calculus I
Math 141 Introductory Statistics
CS 140 Computer Programming I
ENG 101 Essay Writing
GEN ED
|
Math 151 Calculus I ...or...
Math 152 Calculus II
Math 265 Math Modeling
GEN ED
GEN ED
GEN ED
|
|
|
|
| Sophomore |
|
|
|
Fall |
Spring |
|
Math 152 Calculus II...or...
Math 251 Multivariate Calculus
Math 225 Intro to Abstract Math
GEN ED
GEN ED
|
Math 332 Linear Algebra
Math 251 Multivariate Calculus ...or...
Math Elective
Phys 241 University Physics I
GEN ED
GEN ED
|
|
|
|
| Junior |
|
|
|
Fall |
Spring |
|
Math 331 Modern Algebra
Math 341 Probability* ...or...
Math Elective
GEN ED
GEN ED
GEN ED
*suggested electives
|
Math 342 Mathematical Statistics* ...or...
Math Elective
Math 351 Intermed Analysis
Elective
GEN ED
GEN ED
|
|
|
| Senior |
|
Fall |
Spring |
|
Math Elective
Elective
Elective
Elective
|
ElectivesB
Math Elective (if started w/precalc)
Note: Two math electives must be at the 230 level or
higher and the remaining three electives must be at the
305 level or higher.
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