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Course Description form
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Course Title
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English Code /No
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ARABIC code/no.
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credits
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Th.
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Pr.
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Tr.
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TCH
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Mathematics for Maritime Studies
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Math 201
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ر201
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4
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5
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Pre-requisites
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Math 110
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Brief contents, to be posted in university site and documents(4-5 lines):
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Applications of derivatives and integrations - Coordinate Geometry - Geometric definitions of parabolas, ellipses, and Hyperbolas – Trigonometry - Spherical Triangles, PZX Triangles, and Napier's Rules - Mathematical Models including Exponential Functions ,..etc - Curves and Data Fitting - Newton's Method - Numerical Integration - Differential Equations [including Numerical estimates for solutions] - Representing Functions using Series - Vectors and the Geometry of Space - Polar Coordinates - Partial Derivatives - Applications of multivariable Calculus To Wave Dynamics.
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Faculties and departments requiring this course (if any): Faculty of Marine Science
Objectives: Prefer In points
1- See how trigonometric ideas are used in celestial navigation.
2- Graph curves and do curve fitting.
3- Solve mathematical equations analytically and numerically.
4- Carry out vector calculations.
5- Apply calculus methods to wave dynamics.
Contents: Prefer In points
1-Applications of Derivatives and Integrations.
2- Analytic and numerical solutions of DEs.
3- Curves and Data Fitting.
4- Applications of multivariable Calculus To Wave Dynamics.
5- Geometry of Space, Spherical Triangles, PZX Triangles, and Napier's Rules.
Course Outcomes:
A- Knowledge:
(Specific facts and knowledge of concepts, theories, formula etc.)
Gives a quick overview of some applications of derivation and integration, training to develop analytical and numerical solutions of some differential equations, training to the use of the concepts of differentiation in the wave dynamics study of spherical geometry of space.
B-Cognitive Skills:
(Thinking, problem solving )
1- The students acquires the ability to find mathematical models that describe concrete world problems.
2- Applying the standard emanating criteria given in the course to much better understanding applied fields.
3- Recognizing the importance of mathematics as a wonderful and power tools to better understand what the students study
C- Interpersonal skills and responsibilities
(group participation, leadership, personal responsibility , ethic and moral behavior, capacity for self directed learning)
The student will recognize that the various sciences form an integrated system and found on the other sides what help him to better understand his field and opens ways of cooperation with others from other specialties, and then recognizes the importance of teamwork.
D- Analysis and communication:
(communication, mathematical and IT skills)
Differential equations highlight the importance of theoretical physics. This course help the student to better understand the physical phenomena through mathematical analysis.
Assessment methods for the above elements
According to the following elements:
Discussions, Homework, Periodic tests and final test
Text book:
Title: Calculus
Author: George B.Thomas,Jr
Publisher: Pearson International Edition
Supplementary references
Title: Advanced Calculus
Author: Angus E. Taylor
Publisher: Ginn and Company
Found in: Central Library
Title: A First Course in Differential Equations
Author: Dennis Zill
Found in: Central Library
Title: Multivariable Calculus
Author: R.T Priez
Found in: Central Library
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Time table for distributing Theoretical course contents
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Remarks
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contents
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weak
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Differentiation & Integration techniques
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1
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Application of Derivatives & Integrations
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2
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Newton’s Method, Linearization
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3
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Parametric curves, Series Representations of Function.
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4
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Partial Derivatives, Chain Rule.
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5
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Implicit functions, directional derivatives & gradient of functions, Minima and Maxima values.
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6
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Constrained Optimization Lagrange Multipliers. Parametric Functions and Polar Coordinates.
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7
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Conic Sections
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8
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Differential equations Analytic Solutions
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9
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Differential equations Numerical Solutions
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10
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Vectors and the Geometry of Space.
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11
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Representing Functions using Series
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12
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Scalar and Cross Products and their Applications. Functions and Models.
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13
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Curves and Data Fitting.
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14
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Trigonometry, Special triangles, PZX Triangles. Properties of PZX Triangles, Napier’s Rules.
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15
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Final exam.
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