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Master
Course Outline
MATH& 152
Calculus II
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| Credits: 5 |
Clock Hours per Quarter: 50
AA Discipline: [Quantitative] [Natural Sciences]
Lecture Hours:50
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Description
Continuance of MATH& 151, topics include introduction to the definite integral (optional), applications of the definite integral, differentiation and integration of logarithmic, exponential, trigonometric, and hyperbolic functions, and techniques and applications of integration. Prerequisite: Grade of C- or higher in MATH& 151 or permission of the Mathematics Department. Formerly MATH 125, Calculus with Analytic Geometry II. |
Intended Learning Outcomes
Successfully develop a practical understanding of the definite integral.
a. Limit of Riemann sums.
b. Connection between the derivative and the definite integral.
c. Compute the definite integral and its interpretation as area.
d. Properties of the definite integral and its interpretation as area.
e. "Going backward" from a derivative to the original function, first graphically and numerically, then analytically.
Successfully apply the symbolic methods of integration.
a. Antiderivatives and the Fundamental Theorem of Calculus.
b. Integration by substitution.
c. Integration by parts.
d. Tables of integrals.
e. Integration using a computer algebra system (CAS).
f. Approximating definite integrals.
g. Convergence and divergence of improper integrals.
Successfully apply the integral in solving problems including, but not limited to, the following:
a. Areas enclosed by functions.
b. Volumes of solids of revolution using cylindrical shells, discs, and or washers. Volumes of solids that are not solids in revolution using slicing techniques.
c. Arc length of functions and parametric curves in the plane.
d. Common applications of the integral in physics (work, pressure, etc).
Technology skills integrated into the course include, but are not limited to, the following:
Evaluating definite integrals numerically using the CAS or calculator programs involving Riemann sums. Evaluate of definite and indefinite integrals using CAS.
Optional (to be included in either MATH 125 or 126 but not oth): Successfully solve first-order differential equations graphically (slope fields), numerically (Euler's method), analytically (separation of variables), all in the context of substantial applications.
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Course Topics
Introduction to the definite integral
Applications of the definite integral, differentiation and integration of logarithmic, exponential, trigonom, metric, and hyperbolic functions
Techniques and applications of integration
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Syllabi
Listing
See ALL Quarters
| Course |
Year
Quarter
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Item
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Instructor |
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| MATH& 152 |
Winter 2013 |
0444 |
Julianne Sachs |
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| MATH& 152 |
Winter 2011 |
1467 |
Julianne Sachs |
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| MATH& 152 |
Winter 2010 |
1481 |
Eric Schulz |
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| MATH& 152 |
Winter 2010 |
1467 |
Julianne Sachs |
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Two Year Projected Schedule
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One* |
Year
Two** |
Fall |
Winter |
Spring |
Summer |
Mini |
Fall |
Winter |
Spring |
Summer |
Mini |
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X
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X
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*If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
**If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.
printable version
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