The School of Natural Sciences' calculus series — Calculus I (MATH 011) and Calculus II (MATH 012) — are courses designed to meet the needs of students needing two or fewer semesters of calculus to meet their educational objectives.
Course Descriptions
MATH 011: Calculus I [4]
Introduction to differential and integral calculus of functions of one variable, including exponential, logarithmic and trigonometric functions, emphasizing conceptual understanding and applying mathematical concepts to real-world problems (approximation, optimization).
MATH 012: Calculus II [4]
Continuation of MATH 011. Introduction to integral calculus of functions of one variable and differential equations, emphasizing conceptual understanding and applying mathematical concepts to real-world problems.
MATH 021: Calculus I for Physical Sciences and Engineering [4]
An introduction to differential and integral calculus of functions of one variable. Elementary functions such as the exponential and the natural logarithm, rates of change and the derivative with applications to physical sciences and engineering.
MATH 022: Calculus II for Physical Sciences and Engineering [4]
Continuation of MATH 021. Analytical and numerical techniques of integration with applications, infinite sequences and series, first order ordinary differential equations.
Switching Between Tracks
Switching between tracks is not encouraged. Students from any major may take MATH 021 with adviser approval provided they demonstrate educational need for MATH 021 and 022.
Students who successfully complete MATH 011 and 012 and need to continue on in coursework requiring MATH 022 as a course requisite will need to pass a MATH 022 competency exam or may enroll in MATH 022. If MATH 022 is successfully completed, the grade for MATH 022 will replace the grade for MATH 012. The student will only receive grade points and units for MATH 022.
Students who wish to switch from MATH 011 to MATH 022 will need to pass a MATH 021 competency exam or may enroll in MATH 021. If MATH 021 is successfully completed the grade for MATH 021 will replace the grade for MATH 011 and the student will only receive grade points and units for MATH 021.
Students need an adviser override to enroll in MATH 021 after successfully completing MATH 011 or in MATH 022 after successfully completing MATH 012. Please note the grade points and units from the first course will be removed from the student's record, but the grade assigned at each enrollment shall be permanently recorded. Students pursuing this option elect to nullify units from a previous semester and need to be advised and understand the potential implications to their time to degree and financial aid.
Competency Exams
Competency exams will be administered three times per year. In fall, the exam will be offered on the Monday prior to instructional start. In spring and summer, the exam will be offered the Friday prior to instructional start. Students who need to register to take a MATH 021 or MATH 022 competency exam must register two weeks prior to the exam date to reserve space. Competency exam registration may be found by logging in using your UCMNetID and password. Exams will be graded in time to inform students of the results on the first day of instruction. Specific information about the dates of the exams can be found at the Calculus Competency Exam page.
Note: The math faculty strongly recommend students taking the calculus competency exam(s) prepare using the required text for MATH 021 and/or 022.
Articulation Concerns
Any courses that articulated as Math 21, Calculus of a Single Variable, and Math 22, Calculus of a Single Variable II, as of April 1, 2010 will continue to articulate for Math 21 and 22 until further notice. Any courses that articulate as Math 21 and 22 would also articulate as Math 11 and Math 12 respectively. Applied Mathematics will re-evaluate articulations for Math 21, Calculus I for Physical Sciences and Engineers, and Math 22, Calculus II for Physical Sciences and Engineers, on a case by case basis.
