LOWER DIVISION COURSES [20 UNITS]
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1 Natural Science Majors Applied Mathematical Sciences Major Mathematics has been a central feature of humanity s intellectual achievements over the past several centuries. Its role in the physical sciences and engineering is well established and continues to aid in their development. Mathematics is also becoming increasingly important in the social and life sciences with a wide range of new applications requiring sophisticated mathematical techniques. Thus, the field of applied mathematical sciences is undergoing remarkable growth. UC Merced offers an undergraduate major leading to a B.S. degree in the Applied Mathematical Sciences. This educational experience provides students with knowledge of the foundations of mathematics and the skills needed to apply mathematics to real-world phenomena in the social sciences, natural sciences and engineering. The curriculum is composed of courses in the fundamentals while allowing for building expertise in an application area through the emphasis tracks. There is a core set of courses all mathematical sciences students take. Beyond these classes, students complete an emphasis track consisting of courses in other fields. Some examples of emphasis tracks include physics, computational biology, economics, computer science and engineering, and engineering mechanics. New emphasis tracks will be added alongside new programs developing at UC Merced. Students may also design their own emphasis track with the approval of the faculty program leads for the Applied Mathematical Sciences major. A degree in applied mathematical sciences opens the door to a wide variety of careers. Employers understand that a degree in mathematics means a student has been trained well in analytical reasoning and problem solving. Moreover, applied mathematical sciences majors with skills in scientific computing have the additional leverage of substantial computing experience. The market for applied mathematicians has usually been good, especially for those who can relate their mathematics to real world problems. In particular, applied mathematics majors familiar with concepts in management, biology, engineering, economics or the environmental sciences among others are well suited for many specialized positions. In addition, the breadth and rigor of this program provide an excellent preparation to teach mathematics at the elementary or high school levels. Requirements for the Applied Mathematical Sciences Major (MATH) Students majoring in Applied Mathematical Sciences must adhere to all UC Merced and School of Natural Sciences requirements. For the Math/Science Preparatory Curricula, students majoring in Applied Mathematical Sciences must take: MATH 021: Calculus I for Physical Sciences and Engineering... 4 units MATH 032: Probability & Statistics units PHYS 008: Introductory Physics I units CSE 020: Introduction to Computing units CHEM 002: General Chemistry I units The additional requirements that must be met to obtain the B.S. degree in the Applied Mathematical Sciences at UC Merced are: Applied Mathematical Sciences Requirements (62-64 units): The Applied Mathematical Sciences major consists of 16 courses (5 or 6 lower division and 10 or 11 upper division, depending on the emphasis track chosen) designed to give all students a common foundation of core knowledge specific to the discipline, plus breadth in an application area. LOWER DIVISION COURSES [20 UNITS] BIO 001: Contemporary Biology, ESS 001: Introduction to Earth Systems Science or ESS 005: Introduction to Biological Earth Systems*... 4 units MATH 022: Calculus II for Physical Sciences and Engineering... 4 units MATH 023: Vector Calculus units MATH 024: Linear Algebra and Differential Equations units PHYS 009: Introductory Physics II units * For the Computational Biology emphasis track listed below, students must take BIO 001 and BIO 001L: Contemporary Biology Lab UPPER DIVISION COURSES [24 UNITS] MATH 122: Complex Variables and Applications units MATH 125: Intermediate Differential Equations units MATH 126: Partial Differential Equations units MATH 131: Numerical Analysis I units MATH 132: Numerical Analysis II units MATH 141: Linear Analysis I units EMPHASIS TRACKS [18-20 UNITS] The student must complete at least 18 units of approved course work from other programs toward the completion of an emphasis track. At least 10 of these 18 units must be upper division courses. Some examples of emphasis tracks include physics, computational biology, economics, computer science, and engineering. These examples appear in the sample course plans below. More application themes will become available as new programs on campus develop. Students may design their own emphasis track with approval from the faculty program leads for the Applied Mathematical Sciences major. Additional Requirements for Physics Emphasis Track PHYS 010: Introductory Physics III units PHYS 105: Analytical Mechanics Core units PHYS 110: Electrodynamics Core units PHYS 112: Statistical Mechanics Core units PHYS 137: Quantum Mechanics Core units Additional Requirements for Computational Biology Emphasis Track
2 BIO 002: Introduction to Molecular Biology units BIO 175: Biostatistics units BIO 180: Mathematical Modeling for Biology units BIO 181: Survey of Computational Biology units BIO 182: Bioinformatics units Additional Requirements for Economics Emphasis Track ECON 001: Introduction to Economics units ECON 100: Intermediate Microeconomic Theory units ECON 101: Intermediate Macroeconomic Theory units ECON 130: Econometrics units One additional upper division ECON course units Additional Requirements for Computer Science Emphasis Track CSE 030: Introduction to Computer Science and Engineering I.. 4 units CSE 031: Introduction to Computer Science and Engineering II.. 4 units CSE 100: Algorithm Design and Analysis units CSE 111: Database Systems units CSE 160: Networking units Additional Requirements for Engineering Emphasis Track ENGR 057: Dynamics units ENGR 120: Fluid Mechanics units ENGR 130: Thermodynamics units ENGR 151: Strength of Materials units ME 135 Finite Element Analysis units Transfer Students Transfer students who wish to major in Applied Mathematical Sciences should complete two semesters of calculus of a single variable, vector calculus, linear algebra and differential equations. In addition, transfer students should complete one semester of general chemistry with laboratory and two semesters of calculus-based physics with laboratory. Students should consult the online student transfer information system at Students should also consult the Information for Prospective Students link on the School of Natural Sciences web site naturalsciences.ucmerced.edu for more information. Program Learning Outcomes for the Applied Mathematical Sciences Major The over-arching goal of the Applied Mathematical Sciences program is to build a community of life-long learners that use the analytical and computational tools of mathematics to solve real world problems. Upon graduating, we expect students completing the Applied Mathematical Sciences major to have become effective problem solvers, meaning that student will be able to 1. Solve mathematical problems using analytical methods. 2. Solve mathematical problems using computational methods. 3. Recognize the relationships between different areas of mathematics and the connections between mathematics and other disciplines. 4. Give clear and organized written and verbal explanations of mathematical ideas to a variety of audiences. 5. Model real-world problems mathematically and analyze those models using their mastery of the core concepts. SAMPLE PLAN OF STUDY FOR APPLIED MATHEMATICAL SCIENCES DEGREE PHYSICS EMPHASIS MATH 022 Calculus II for Physical Sciences and Engineering 4 MATH 023 Vector Calculus 4 PHYS 010 Introductory Physics III 4 General Education Elective (Arts/Humanities) 4 PHYS 105 Analytic Mechanics Core 4 BIO 001 Contemporary Biology** 4
3 PHYS 110 Electrodynamics Core 4 General Education (Social/Cognitive Sciences) 4 PHYS 137 Quantum Mechanics Core 4 General Education (communication) 4 PHYS 112 Statistical Mechanics Core 4 Upper division sciences/engineering elective 4 Total Program Units 125 ** or ESS 001 Introduction to Earth Systems Science or ESS 005 Introduction to Biological Earth Systems. PLAN OF STUDY FOR APPLIED MATHEMATICAL SCIENCES DEGREE COMPUTATIONAL BIOLOGY EMPHASIS BIO 001 Contemporary Biology 4 MATH 023 Vector Calculus 4 CHEM 8 Principles of Organic Chemistry 4 BIO 002 Introduction to Molecular Biology 4 General Education Elective (Humanities and Arts) 4 BIO 180 Mathematical Modeling for Biology 4 Semester Units 17 BIO 175 Biostatistics 4
4 BIO 181 Survey of Computational Biology 4 BIO 182 Bioinformatics 4 General Education (communication) 4 Total Program Units 126 SAMPLE PLAN OF STUDY FOR APPLIED MATHEMATICAL SCIENCES DEGREE ECONOMICS EMPHASIS TRACK MATH 023 Multi-Variable Calculus 4 ECON 001 Introduction to Economics** 4 BIO 001 Contemporary Biology*** 4 General Education Elective (Humanities and Arts) 4 ECON 010 Statistical Inference 4 ECON 100 Intermediate Microeconomic Theory 4 ECON 130 Econometrics 4
5 General Education (communication) 4 ECON 101 Intermediate Macroeconomic Theory 4 Upper Division Economics course 4 Total Program Units 126 ** ECON 001 can be used to satisfy a Social and Cognitive Sciences General Education Requirement. *** Or ESS 001 Introduction to Earth Systems Science or ESS 005 Introduction to Biological Earth Systems. SAMPLE PLAN OF STUDY FOR APPLIED MATHEMATICAL SCIENCES DEGREE COMPUTER SCIENCE EMPHASIS TRACK CSE 021 Introduction to Computing II 2 Semester Units 17 MATH 023 Multi-Variable Calculus 4 CSE 030 Introduction to Computer Science And Engineering I 4 BIO 001 Contemporary Biology** 4 General Education Elective (Arts/Humanities) 4 CSE 031 Introduction to Computer Science And Engineering II 4 Semester Units 17 CSE 100 Algorithm Design and Analysis 4 CSE 160 Networking 4 General Education Elective (communication) 4
6 CSE 111 Database Systems 4 Total Program Units 127 ** Or ESS 001 Introduction to Earth Systems Science or ESS 005 Introduction to Biological Earth Systems. SAMPLE PLAN OF STUDY FOR APPLIED MATHEMATICAL SCIENCES DEGREE ENGINEERING EMPHASIS TRACK MATH 023 Vector Calculus 4 General Education Elective (Arts/Humanities) 4 BIO 001 Contemporary Biology** 4 ENGR 057 Dynamics 4 ENGR 151 Strength of Materials 4 ENGR 130 Thermodynamics 3 ME 135 Finite Element Analysis 3 General Education Elective (communication) 4 ENGR 120 Fluid Mechanics 4 Total Program Units 123
7 ** Or ESS 001 Introduction to Earth Systems Science or ESS 005 Introduction to Biological Earth Systems.
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ATTENTION Class of 2019! As of September 16, 2015, Columbia has revised some of the pre-engineering requirements. An updated guide will be available by October 15, 2015. The requirements are unchanged
Economics PhD International Economics and Finance MA
Economics PhD International Economics and Finance MA www.ryerson.ca/graduate Ryerson University, 350 Victoria Street Toronto, ON M5B 2K3 Canada September 2010 (70691) Economics PhD International Economics
M Majors MAJOR REQUIREMENTS. Management - small business & entrepreneurship. marketing. mathematics. medical assisting
M Majors Click on the major below to get to the exact page. Management - small business & entrepreneurship marketing mathematics medical assisting music he following section details the required curriculum
SECTION G: Major Related Programs (MRPs)
SECTION G: Major Related Programs (MRPs) Table of Contents Bioengineering and Chemical Pre-Engineering Associate of Science Track 2 MRP... G3 Biology DTA/MRP... G5 Biology Education Associate of Science
Undergraduate Degree Map for Completion in Four Years
Page 1 of 5 Undergraduate Degree Map for Completion in Four Years College: College of Social & Behavioral Sciences Department: Name of Program: HOLOGY Degree Designation: BS Emphasis/Concentration: Option:
Harrisburg Area Community College
Harrisburg Area Community College Credit Listing Credit Listing The TROY Credit Listing is designed to be a resource to identify potential transfer credit and associated TROY course equivalents from completed
Computer Science. B.S. in Computer & Information Science. B.S. in Computer Information Systems
The field of computing enables much of the on-going revolution in information technology and communications. Its techniques, tools and problem-solving approaches have proven most powerful and effective.
The attached applicant essay and two teacher recommendations forms are required for transfer students applying to the Diagnostic Ultrasound program.
TO: FROM: SUBJECT: Transfer Students Applying to Diagnostic Ultrasound Program Seattle University Admissions Office Supplementary Application Forms The Diagnostic Ultrasound program at Seattle University