Classes |
| 2007-2008 |
| GMP-I | GSE-120: INTRODUCTION TO LOGIC (formerly UE-120) |
| Grade 7 | 1 College Credit (optional) |
| A development of the formal language of logic, demonstrations including use of the deduction theorem and indirect inference, the propositional calculus, and quantifiers. Download Curriculum |
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| GMP-II | GSE-121: LOGIC AND SETS (formerly UE-121) |
| Grade 8 | 2 College Credits (optional) |
Formal set theory developed from primitive notions and a logic for set theory including general rules of inferences, demonstration, the comprehension principle, and rules of inference for quantifiers. Presenting proofs in full and abbreviated form. |
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| GMP-III | GSE-122: INTRODUCTION TO FIELDS (formerly UE-122) |
| Grade 9 | 1 College Credit (optional) |
Elementary field properties. Equations in a field. Multiples and powers in a field. Polynomials and polynomial functions over a field. Ordered fields including maxima, minima, and absolute value. Applications.
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| GMP-IV | GSE-123: RELATIONS AND FUNCTIONS (formerly UE-123) |
| Grade 10 | 2 College Credits (optional) |
Inequalities, sequences, and limits. Exponential and logarithmic functions. Circular functions and trigonometry. Groups, complex numbers, and vectors. Polynomials. |
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| GMP-V | MTH-141: COLLEGE CALCULUS I |
| Grade 11 | 4 College Credits (optional) -- Fall only |
Differentiation and integration with applications. |
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| MTH-142: COLLEGE CALCULUS II | |
| 4 College Credits (optional) -- Spring only and must pass College Calculus I |
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Differentiation and integration of transcendental functions; infinite sequences; series and power series; methods of integration; additional topics in analytic geometry.
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| GMP-VI | MTH-241: COLLEGE CALCULUS III |
| Grade 12 | 4 College Credits (optional) -- Fall only |
Geometry and vectors of n-dimensional space; Green’s Theorem, Stokes’ Theorem, multidimensional differentiation and integration; application to two and three-dimensional space. |
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MTH-309: INTRODUCTION TO LINEAR ALGEBRA |
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4 College Credits (optional) -- Spring only and must pass College Calculus II |
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Linear equations, linear transformations, matrices, determinants, vector spaces, eigenvalues and eigenvectors, inner products, orthogonality, quadratic forms. |
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