Background and Goals: MATH 156 is part of the applied Honors calculus sequence for engineering and science majors. The course is an alternative to MATH 116 for students with strong mathematical ability. Applications and concepts receive equal treatment. Theorems are stated precisely and are derived, but technical details are omitted. Examples are given to illustrate the theory. Critical thinking and class participation are encouraged. The goal is to provide students with the solid background needed for subsequent courses in mathematics, engineering, and science.
Content: Riemann sums, definite integral, fundamental theorem of calculus, applications of integral calculus (e.g., arclength, surface area, work, center of mass, probability density functions), improper integrals, infinite sequences and series, geometric series, alternating series, power series, Taylor series, differential equations, complex numbers. Students are introduced to MAPLE.
Alternatives: MATH 116 (Calculus II) or MATH 186 (Honors Calculus II).
Subsequent Courses: MATH 255 (Applied Honors Calculus III) is the natural sequel.
Course Requirements:
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Class Format:
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