MTH 142 Syllabi_Spring 2018.docx

MTH 142 Syllabi_Spring 2018.docx - Department of...

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MTH 142 | 2018 | P a g e 1 Department of Mathematics MTH 142 – College Calculus 2 – 4cr – SPRING 2018 I n str u ct o r : Professor Mark R. Marino Offic e : 313 Mathematics Building – North Campus Email: [email protected] Office Hours : Monday, Wednesday, Friday 5:00-6:00 PM Class T i m e ( s) a n d L o c a ti o n ( s) Registra tion Number Days of the Week Time Location MTH 142-I (Lecture) <<< >>> Monday, Wednesday, Friday 4:00-4:50 PM 14 Knox Hall MTH 142-I1 (Recitation) 20788 Friday 12:00-12:50 PM 111 Talbert Hall MTH 142-I2 (Recitation) 20789 Monday 12:00-12:50 PM 111 Talbert Hall Registra tion Number Days of the Week Time Location MTH 142-K (Lecture) <<< >>> Monday, Wednesday, Friday 6:00-6:50 PM 205 Natural Science Complex MTH 142-K1 (Recitation) 21781 Monday 7:00-7:50 PM 146 Park Hall MTH 142-K2 (Recitation) 21782 Wednesday 7:00-7:50 PM 146 Park Hall Registra tion Number Days of the Week Time Location MTH 142-EOP (Lecture & Recitation) 24482 Tuesday, Thursday 3:00-4:50 PM 214 O’Brian Hall Recitations will begin the week of February 5 th . You must attend the lecture and recitation you are registered for. ------------------------------------------------------------------------------------------------------------------------- ---------------------------------------- Pre-Requisite: Passing grade in MTH 141. Strongly Recommended Pre-Requisite: Passing grade of C or higher in MTH141 C o u rse D e scri p t i o n Differentiation and integration of transcendental functions; infinite sequences; series and power series; integration methods; additional topics in analytic geometry. Student L ear n i n g O u t c o m es By the end of this course, students will be able to: Interpret the area enclosed between curves as a definite integral and compute its value. Express the area of a surface of revolution as a Riemann sum of rings, convert it to a definite integral form and compute its value. Compute indefinite and definite integrals using integration by parts, by substitution (including trigonometric substitutions) and using decomposition of rational expressions into partial fractions. Determine convergence of improper integrals with discontinuities in their domain or with infinite limits of integration and compute their values.
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MTH 142 | 2018 | P a g e 2 Approximate values of definite integrals numerically using the midpoint rule, the trapezoidal rule, and Simpson's rule; compute error bounds for these approximations. Compute the length of a curve segment from its parametric representation. Describe curves and regions of the xy-plane in polar coordinates and use this description to compute lengths and areas. Use the concept of the limit at infinity to determine whether a sequence of real numbers is bounded and whether it converges or diverges. Interpret the concept of a series as the sum of a sequence, and use the sequence of partial sums to determine convergence of a series. Distinguish between conditional convergence and absolute convergence of infinite series and be aware of the consequences of reordering terms of a conditionally converging infinite series.
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